TSTP Solution File: MGT010-1 by Leo-III---1.7.7
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- Process Solution
%------------------------------------------------------------------------------
% File : Leo-III---1.7.7
% Problem : MGT010-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n011.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 11:35:12 EDT 2023
% Result : Unsatisfiable 2.82s 1.65s
% Output : Refutation 3.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 39
% Syntax : Number of formulae : 59 ( 27 unt; 20 typ; 0 def)
% Number of atoms : 121 ( 0 equ; 0 cnn)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 484 ( 84 ~; 82 |; 0 &; 318 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 24 ( 8 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 24 ( 24 >; 0 *; 0 +; 0 <<)
% Number of symbols : 21 ( 20 usr; 12 con; 0-3 aty)
% Number of variables : 82 ( 0 ^; 82 !; 0 ?; 82 :)
% Comments :
%------------------------------------------------------------------------------
thf(organization_type,type,
organization: $i > $i > $o ).
thf(sk2_type,type,
sk2: $i ).
thf(sk11_type,type,
sk11: $i ).
thf(sk3_type,type,
sk3: $i ).
thf(sk12_type,type,
sk12: $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(reliability_type,type,
reliability: $i > $i > $i > $o ).
thf(sk5_type,type,
sk5: $i ).
thf(sk6_type,type,
sk6: $i ).
thf(accountability_type,type,
accountability: $i > $i > $i > $o ).
thf(sk7_type,type,
sk7: $i ).
thf(sk8_type,type,
sk8: $i ).
thf(size_type,type,
size: $i > $i > $i > $o ).
thf(sk9_type,type,
sk9: $i ).
thf(sk10_type,type,
sk10: $i ).
thf(greater_type,type,
greater: $i > $i > $o ).
thf(reproducibility_type,type,
reproducibility: $i > $i > $i > $o ).
thf(sk1_type,type,
sk1: $i > $i > $i ).
thf(18,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 )
| ~ ( reproducibility @ A @ I @ B )
| ~ ( reproducibility @ C @ J @ D )
| ~ ( greater @ F @ E )
| ~ ( greater @ H @ G )
| ( greater @ J @ I ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a2_FOL_4) ).
thf(41,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 )
| ~ ( reproducibility @ A @ I @ B )
| ~ ( reproducibility @ C @ J @ D )
| ~ ( greater @ F @ E )
| ~ ( greater @ H @ G )
| ( greater @ J @ I ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[18]) ).
thf(8,negated_conjecture,
reliability @ sk3 @ sk6 @ sk12,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t10_FOL_13) ).
thf(32,plain,
reliability @ sk3 @ sk6 @ sk12,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(17,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 )
| ~ ( reproducibility @ A @ I @ B )
| ~ ( reproducibility @ C @ J @ D )
| ~ ( greater @ J @ I )
| ( greater @ H @ G ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a2_FOL_3) ).
thf(39,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 )
| ~ ( reproducibility @ A @ I @ B )
| ~ ( reproducibility @ C @ J @ D )
| ~ ( greater @ J @ I )
| ( greater @ H @ G ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[17]) ).
thf(15,axiom,
! [B: $i,A: $i] :
( ~ ( organization @ A @ B )
| ( reproducibility @ A @ ( sk1 @ B @ A ) @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp3_1) ).
thf(35,plain,
! [B: $i,A: $i] :
( ~ ( organization @ A @ B )
| ( reproducibility @ A @ ( sk1 @ B @ A ) @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[15]) ).
thf(11,negated_conjecture,
size @ sk2 @ sk9 @ sk11,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t10_FOL_16) ).
thf(31,plain,
size @ sk2 @ sk9 @ sk11,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).
thf(19,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 )
| ~ ( reorganization_free @ A @ B @ B )
| ~ ( reorganization_free @ C @ D @ D )
| ~ ( class @ A @ E @ B )
| ~ ( class @ C @ E @ D )
| ~ ( reproducibility @ A @ F @ B )
| ~ ( reproducibility @ C @ G @ D )
| ~ ( size @ A @ H @ B )
| ~ ( size @ C @ I @ D )
| ~ ( greater @ I @ H )
| ( greater @ G @ F ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t9_FOL_5) ).
thf(43,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 )
| ~ ( reorganization_free @ A @ B @ B )
| ~ ( reorganization_free @ C @ D @ D )
| ~ ( class @ A @ E @ B )
| ~ ( class @ C @ E @ D )
| ~ ( reproducibility @ A @ F @ B )
| ~ ( reproducibility @ C @ G @ D )
| ~ ( size @ A @ H @ B )
| ~ ( size @ C @ I @ D )
| ~ ( greater @ I @ H )
| ( greater @ G @ F ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[19]) ).
thf(3,negated_conjecture,
reorganization_free @ sk2 @ sk11 @ sk11,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t10_FOL_8) ).
thf(30,plain,
reorganization_free @ sk2 @ sk11 @ sk11,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(6,negated_conjecture,
class @ sk3 @ sk4 @ sk12,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t10_FOL_11) ).
thf(24,plain,
class @ sk3 @ sk4 @ sk12,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(16,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 )
| ~ ( reproducibility @ A @ I @ B )
| ~ ( reproducibility @ C @ J @ D )
| ~ ( greater @ J @ I )
| ( greater @ F @ E ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a2_FOL_2) ).
thf(37,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 )
| ~ ( reproducibility @ A @ I @ B )
| ~ ( reproducibility @ C @ J @ D )
| ~ ( greater @ J @ I )
| ( greater @ F @ E ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[16]) ).
thf(9,negated_conjecture,
accountability @ sk2 @ sk7 @ sk11,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t10_FOL_14) ).
thf(25,plain,
accountability @ sk2 @ sk7 @ sk11,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(5,negated_conjecture,
class @ sk2 @ sk4 @ sk11,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t10_FOL_10) ).
thf(20,plain,
class @ sk2 @ sk4 @ sk11,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(7,negated_conjecture,
reliability @ sk2 @ sk5 @ sk11,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t10_FOL_12) ).
thf(29,plain,
reliability @ sk2 @ sk5 @ sk11,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(12,negated_conjecture,
size @ sk3 @ sk10 @ sk12,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t10_FOL_17) ).
thf(28,plain,
size @ sk3 @ sk10 @ sk12,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).
thf(10,negated_conjecture,
accountability @ sk3 @ sk8 @ sk12,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t10_FOL_15) ).
thf(21,plain,
accountability @ sk3 @ sk8 @ sk12,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).
thf(4,negated_conjecture,
reorganization_free @ sk3 @ sk12 @ sk12,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t10_FOL_9) ).
thf(33,plain,
reorganization_free @ sk3 @ sk12 @ sk12,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(14,negated_conjecture,
( ~ ( greater @ sk6 @ sk5 )
| ~ ( greater @ sk8 @ sk7 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t10_FOL_19) ).
thf(22,plain,
( ~ ( greater @ sk6 @ sk5 )
| ~ ( greater @ sk8 @ sk7 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[14]) ).
thf(2,negated_conjecture,
organization @ sk3 @ sk12,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t10_FOL_7) ).
thf(27,plain,
organization @ sk3 @ sk12,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(13,negated_conjecture,
greater @ sk10 @ sk9,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t10_FOL_18) ).
thf(26,plain,
greater @ sk10 @ sk9,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[13]) ).
thf(1,negated_conjecture,
organization @ sk2 @ sk11,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t10_FOL_6) ).
thf(23,plain,
organization @ sk2 @ sk11,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(45,plain,
$false,
inference(e,[status(thm)],[41,32,39,35,31,43,30,24,37,25,20,29,28,21,33,22,27,26,23]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : MGT010-1 : TPTP v8.1.2. Released v2.4.0.
% 0.06/0.15 % Command : run_Leo-III %s %d
% 0.15/0.35 % Computer : n011.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 23:40:04 EDT 2023
% 0.15/0.36 % CPUTime :
% 0.97/0.84 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.19/0.96 % [INFO] Parsing done (120ms).
% 1.19/0.97 % [INFO] Running in sequential loop mode.
% 1.68/1.16 % [INFO] eprover registered as external prover.
% 1.68/1.16 % [INFO] cvc4 registered as external prover.
% 1.68/1.17 % [INFO] Scanning for conjecture ...
% 1.87/1.23 % [INFO] Found a conjecture and 5 axioms. Running axiom selection ...
% 1.87/1.25 % [INFO] Axiom selection finished. Selected 5 axioms (removed 0 axioms).
% 2.01/1.28 % [INFO] Problem is propositional (TPTP CNF).
% 2.01/1.28 % [INFO] Type checking passed.
% 2.01/1.28 % [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 ...
% 2.82/1.65 % External prover 'e' found a proof!
% 2.82/1.65 % [INFO] Killing All external provers ...
% 2.82/1.65 % Time passed: 1131ms (effective reasoning time: 678ms)
% 2.82/1.65 % 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)>
% 2.82/1.65 % Axioms used in derivation (5): a2_FOL_3, a2_FOL_2, mp3_1, t9_FOL_5, a2_FOL_4
% 2.82/1.65 % No. of inferences in proof: 39
% 2.82/1.65 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 1131 ms resp. 678 ms w/o parsing
% 3.24/1.69 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 3.24/1.69 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------