TSTP Solution File: MGT003-1 by Leo-III---1.7.7
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%------------------------------------------------------------------------------
% File : Leo-III---1.7.7
% Problem : MGT003-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n016.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 2.67s 1.71s
% Output : Refutation 3.01s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 23
% Syntax : Number of formulae : 36 ( 15 unt; 11 typ; 0 def)
% Number of atoms : 61 ( 0 equ; 0 cnn)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 232 ( 38 ~; 36 |; 0 &; 158 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 21 ( 7 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 15 ( 15 >; 0 *; 0 +; 0 <<)
% Number of symbols : 12 ( 11 usr; 6 con; 0-3 aty)
% Number of variables : 42 ( 0 ^; 42 !; 0 ?; 42 :)
% Comments :
%------------------------------------------------------------------------------
thf(organization_type,type,
organization: $i > $i > $o ).
thf(sk2_type,type,
sk2: $i ).
thf(sk5_type,type,
sk5: $i ).
thf(sk6_type,type,
sk6: $i ).
thf(reorganization_free_type,type,
reorganization_free: $i > $i > $i > $o ).
thf(survival_chance_type,type,
survival_chance: $i > $i > $i > $o ).
thf(sk3_type,type,
sk3: $i ).
thf(sk4_type,type,
sk4: $i ).
thf(greater_type,type,
greater: $i > $i > $o ).
thf(inertia_type,type,
inertia: $i > $i > $i > $o ).
thf(sk1_type,type,
sk1: $i > $i > $i ).
thf(10,axiom,
! [B: $i,A: $i] :
( ~ ( organization @ A @ B )
| ( inertia @ A @ ( sk1 @ B @ A ) @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp5_3) ).
thf(25,plain,
! [B: $i,A: $i] :
( ~ ( organization @ A @ B )
| ( inertia @ A @ ( sk1 @ B @ A ) @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).
thf(1,negated_conjecture,
organization @ sk2 @ sk5,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t3_FOL_6) ).
thf(14,plain,
organization @ sk2 @ sk5,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(12,axiom,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( organization @ A @ B )
| ~ ( organization @ A @ C )
| ~ ( reorganization_free @ A @ B @ C )
| ~ ( inertia @ A @ D @ B )
| ~ ( inertia @ A @ E @ C )
| ~ ( greater @ C @ B )
| ( greater @ E @ D ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t2_FOL_5) ).
thf(29,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( organization @ A @ B )
| ~ ( organization @ A @ C )
| ~ ( reorganization_free @ A @ B @ C )
| ~ ( inertia @ A @ D @ B )
| ~ ( inertia @ A @ E @ C )
| ~ ( greater @ C @ B )
| ( greater @ E @ D ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).
thf(8,axiom,
! [C: $i,B: $i,A: $i] :
( ~ ( reorganization_free @ A @ B @ C )
| ( reorganization_free @ A @ B @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp4_1) ).
thf(21,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( reorganization_free @ A @ B @ C )
| ( reorganization_free @ A @ B @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(5,negated_conjecture,
survival_chance @ sk2 @ sk4 @ sk6,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t3_FOL_10) ).
thf(13,plain,
survival_chance @ sk2 @ sk4 @ sk6,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(7,negated_conjecture,
~ ( greater @ sk4 @ sk3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t3_FOL_12) ).
thf(17,plain,
~ ( greater @ sk4 @ sk3 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(11,axiom,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( organization @ A @ B )
| ~ ( organization @ C @ D )
| ~ ( reorganization_free @ A @ B @ B )
| ~ ( reorganization_free @ C @ D @ D )
| ~ ( inertia @ A @ E @ B )
| ~ ( inertia @ C @ F @ D )
| ~ ( survival_chance @ A @ G @ B )
| ~ ( survival_chance @ C @ H @ D )
| ~ ( greater @ F @ E )
| ( greater @ H @ G ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t1_FOL_4) ).
thf(27,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( organization @ A @ B )
| ~ ( organization @ C @ D )
| ~ ( reorganization_free @ A @ B @ B )
| ~ ( reorganization_free @ C @ D @ D )
| ~ ( inertia @ A @ E @ B )
| ~ ( inertia @ C @ F @ D )
| ~ ( survival_chance @ A @ G @ B )
| ~ ( survival_chance @ C @ H @ D )
| ~ ( greater @ F @ E )
| ( greater @ H @ G ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).
thf(3,negated_conjecture,
reorganization_free @ sk2 @ sk5 @ sk6,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t3_FOL_8) ).
thf(18,plain,
reorganization_free @ sk2 @ sk5 @ sk6,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(2,negated_conjecture,
organization @ sk2 @ sk6,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t3_FOL_7) ).
thf(16,plain,
organization @ sk2 @ sk6,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(9,axiom,
! [C: $i,B: $i,A: $i] :
( ~ ( reorganization_free @ A @ B @ C )
| ( reorganization_free @ A @ C @ C ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp4_2) ).
thf(23,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( reorganization_free @ A @ B @ C )
| ( reorganization_free @ A @ C @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(4,negated_conjecture,
survival_chance @ sk2 @ sk3 @ sk5,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t3_FOL_9) ).
thf(19,plain,
survival_chance @ sk2 @ sk3 @ sk5,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(6,negated_conjecture,
greater @ sk6 @ sk5,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t3_FOL_11) ).
thf(15,plain,
greater @ sk6 @ sk5,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(31,plain,
$false,
inference(e,[status(thm)],[25,14,29,21,13,17,27,18,16,23,19,15]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : MGT003-1 : TPTP v8.1.2. Released v2.4.0.
% 0.12/0.15 % Command : run_Leo-III %s %d
% 0.16/0.36 % Computer : n016.cluster.edu
% 0.16/0.36 % Model : x86_64 x86_64
% 0.16/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36 % Memory : 8042.1875MB
% 0.16/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36 % CPULimit : 300
% 0.16/0.36 % WCLimit : 300
% 0.16/0.36 % DateTime : Fri May 19 00:05:57 EDT 2023
% 0.16/0.36 % CPUTime :
% 1.06/0.92 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.26/1.06 % [INFO] Parsing done (129ms).
% 1.26/1.06 % [INFO] Running in sequential loop mode.
% 1.67/1.28 % [INFO] eprover registered as external prover.
% 1.67/1.28 % [INFO] cvc4 registered as external prover.
% 1.67/1.28 % [INFO] Scanning for conjecture ...
% 1.91/1.34 % [INFO] Found a conjecture and 5 axioms. Running axiom selection ...
% 1.91/1.36 % [INFO] Axiom selection finished. Selected 5 axioms (removed 0 axioms).
% 1.91/1.38 % [INFO] Problem is propositional (TPTP CNF).
% 1.91/1.38 % [INFO] Type checking passed.
% 1.91/1.38 % [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 ...
% 2.67/1.70 % External prover 'e' found a proof!
% 2.67/1.70 % [INFO] Killing All external provers ...
% 2.67/1.70 % Time passed: 1178ms (effective reasoning time: 636ms)
% 2.67/1.70 % 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)>
% 2.67/1.71 % Axioms used in derivation (5): mp4_1, t1_FOL_4, mp4_2, mp5_3, t2_FOL_5
% 2.67/1.71 % No. of inferences in proof: 25
% 2.67/1.71 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 1178 ms resp. 636 ms w/o parsing
% 3.01/1.74 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 3.01/1.74 % [INFO] Killing All external provers ...
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