TSTP Solution File: MGT009-1 by Leo-III---1.7.7
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%------------------------------------------------------------------------------
% File : Leo-III---1.7.7
% Problem : MGT009-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n002.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 11:35:11 EDT 2023
% Result : Unsatisfiable 2.90s 1.67s
% Output : Refutation 3.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 33
% Syntax : Number of formulae : 50 ( 25 unt; 17 typ; 0 def)
% Number of atoms : 89 ( 0 equ; 0 cnn)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 348 ( 58 ~; 56 |; 0 &; 234 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 22 ( 7 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 21 ( 21 >; 0 *; 0 +; 0 <<)
% Number of symbols : 18 ( 17 usr; 10 con; 0-3 aty)
% Number of variables : 54 ( 0 ^; 54 !; 0 ?; 54 :)
% Comments :
%------------------------------------------------------------------------------
thf(organization_type,type,
organization: $i > $i > $o ).
thf(sk2_type,type,
sk2: $i ).
thf(sk9_type,type,
sk9: $i ).
thf(sk3_type,type,
sk3: $i ).
thf(sk10_type,type,
sk10: $i ).
thf(reorganization_free_type,type,
reorganization_free: $i > $i > $i > $o ).
thf(class_type,type,
class: $i > $i > $i > $o ).
thf(sk4_type,type,
sk4: $i ).
thf(reproducibility_type,type,
reproducibility: $i > $i > $i > $o ).
thf(sk5_type,type,
sk5: $i ).
thf(sk6_type,type,
sk6: $i ).
thf(size_type,type,
size: $i > $i > $i > $o ).
thf(sk7_type,type,
sk7: $i ).
thf(sk8_type,type,
sk8: $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(6,negated_conjecture,
class @ sk3 @ sk4 @ sk10,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t9_FOL_10) ).
thf(20,plain,
class @ sk3 @ sk4 @ sk10,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(10,negated_conjecture,
size @ sk3 @ sk8 @ sk10,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t9_FOL_14) ).
thf(18,plain,
size @ sk3 @ sk8 @ sk10,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).
thf(7,negated_conjecture,
reproducibility @ sk2 @ sk5 @ sk9,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t9_FOL_11) ).
thf(24,plain,
reproducibility @ sk2 @ sk5 @ sk9,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(3,negated_conjecture,
reorganization_free @ sk2 @ sk9 @ sk9,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t9_FOL_7) ).
thf(25,plain,
reorganization_free @ sk2 @ sk9 @ sk9,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(4,negated_conjecture,
reorganization_free @ sk3 @ sk10 @ sk10,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t9_FOL_8) ).
thf(28,plain,
reorganization_free @ sk3 @ sk10 @ sk10,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(9,negated_conjecture,
size @ sk2 @ sk7 @ sk9,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t9_FOL_13) ).
thf(21,plain,
size @ sk2 @ sk7 @ sk9,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(5,negated_conjecture,
class @ sk2 @ sk4 @ sk9,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t9_FOL_9) ).
thf(17,plain,
class @ sk2 @ sk4 @ sk9,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(14,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 )
| ~ ( reproducibility @ A @ E @ B )
| ~ ( reproducibility @ C @ F @ D )
| ~ ( inertia @ A @ G @ B )
| ~ ( inertia @ C @ H @ D )
| ~ ( greater @ F @ E )
| ( greater @ H @ G ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a3_FOL_2) ).
thf(32,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 )
| ~ ( reproducibility @ A @ E @ B )
| ~ ( reproducibility @ C @ F @ D )
| ~ ( inertia @ A @ G @ B )
| ~ ( inertia @ C @ H @ D )
| ~ ( greater @ F @ E )
| ( greater @ H @ G ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[14]) ).
thf(15,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 )
| ~ ( reproducibility @ A @ E @ B )
| ~ ( reproducibility @ C @ F @ D )
| ~ ( inertia @ A @ G @ B )
| ~ ( inertia @ C @ H @ D )
| ~ ( greater @ H @ G )
| ( greater @ F @ E ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a3_FOL_3) ).
thf(34,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 )
| ~ ( reproducibility @ A @ E @ B )
| ~ ( reproducibility @ C @ F @ D )
| ~ ( inertia @ A @ G @ B )
| ~ ( inertia @ C @ H @ D )
| ~ ( greater @ H @ G )
| ( greater @ F @ E ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[15]) ).
thf(2,negated_conjecture,
organization @ sk3 @ sk10,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t9_FOL_6) ).
thf(22,plain,
organization @ sk3 @ sk10,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(8,negated_conjecture,
reproducibility @ sk3 @ sk6 @ sk10,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t9_FOL_12) ).
thf(27,plain,
reproducibility @ sk3 @ sk6 @ sk10,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(11,negated_conjecture,
greater @ sk8 @ sk7,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t9_FOL_15) ).
thf(26,plain,
greater @ sk8 @ sk7,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).
thf(12,negated_conjecture,
~ ( greater @ sk6 @ sk5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t9_FOL_16) ).
thf(23,plain,
~ ( greater @ sk6 @ sk5 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).
thf(16,axiom,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( organization @ A @ B )
| ~ ( organization @ C @ D )
| ~ ( class @ A @ E @ B )
| ~ ( class @ C @ E @ D )
| ~ ( size @ A @ F @ B )
| ~ ( size @ C @ G @ D )
| ~ ( inertia @ A @ H @ B )
| ~ ( inertia @ C @ I @ D )
| ~ ( greater @ G @ F )
| ( greater @ I @ H ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a5_FOL_4) ).
thf(36,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( organization @ A @ B )
| ~ ( organization @ C @ D )
| ~ ( class @ A @ E @ B )
| ~ ( class @ C @ E @ D )
| ~ ( size @ A @ F @ B )
| ~ ( size @ C @ G @ D )
| ~ ( inertia @ A @ H @ B )
| ~ ( inertia @ C @ I @ D )
| ~ ( greater @ G @ F )
| ( greater @ I @ H ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[16]) ).
thf(13,axiom,
! [B: $i,A: $i] :
( ~ ( organization @ A @ B )
| ( inertia @ A @ ( sk1 @ B @ A ) @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp5_1) ).
thf(30,plain,
! [B: $i,A: $i] :
( ~ ( organization @ A @ B )
| ( inertia @ A @ ( sk1 @ B @ A ) @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[13]) ).
thf(1,negated_conjecture,
organization @ sk2 @ sk9,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t9_FOL_5) ).
thf(19,plain,
organization @ sk2 @ sk9,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(38,plain,
$false,
inference(e,[status(thm)],[20,18,24,25,28,21,17,32,34,22,27,26,23,36,30,19]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : MGT009-1 : TPTP v8.1.2. Released v2.4.0.
% 0.14/0.16 % Command : run_Leo-III %s %d
% 0.16/0.37 % Computer : n002.cluster.edu
% 0.16/0.37 % Model : x86_64 x86_64
% 0.16/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.37 % Memory : 8042.1875MB
% 0.16/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.37 % CPULimit : 300
% 0.16/0.37 % WCLimit : 300
% 0.16/0.37 % DateTime : Thu May 18 23:56:21 EDT 2023
% 0.16/0.37 % CPUTime :
% 0.96/0.86 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.22/0.99 % [INFO] Parsing done (127ms).
% 1.22/1.00 % [INFO] Running in sequential loop mode.
% 1.72/1.21 % [INFO] eprover registered as external prover.
% 1.72/1.21 % [INFO] cvc4 registered as external prover.
% 1.72/1.22 % [INFO] Scanning for conjecture ...
% 1.84/1.28 % [INFO] Found a conjecture and 4 axioms. Running axiom selection ...
% 1.84/1.30 % [INFO] Axiom selection finished. Selected 4 axioms (removed 0 axioms).
% 2.01/1.32 % [INFO] Problem is propositional (TPTP CNF).
% 2.01/1.32 % [INFO] Type checking passed.
% 2.01/1.32 % [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 ...
% 2.90/1.67 % External prover 'e' found a proof!
% 2.90/1.67 % [INFO] Killing All external provers ...
% 2.90/1.67 % Time passed: 1134ms (effective reasoning time: 669ms)
% 2.90/1.67 % 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)>
% 2.90/1.67 % Axioms used in derivation (4): a3_FOL_2, a3_FOL_3, a5_FOL_4, mp5_1
% 2.90/1.67 % No. of inferences in proof: 33
% 2.90/1.67 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 1134 ms resp. 669 ms w/o parsing
% 3.12/1.73 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 3.12/1.73 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------