TSTP Solution File: MGT001+1 by Leo-III---1.7.7
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%------------------------------------------------------------------------------
% File : Leo-III---1.7.7
% Problem : MGT001+1 : TPTP v8.1.2. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n021.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 : Theorem 3.03s 1.75s
% Output : Refutation 3.49s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 15
% Syntax : Number of formulae : 24 ( 1 unt; 8 typ; 0 def)
% Number of atoms : 112 ( 0 equ; 0 cnn)
% Maximal formula atoms : 14 ( 7 avg)
% Number of connectives : 380 ( 2 ~; 0 |; 75 &; 282 @)
% ( 2 <=>; 19 =>; 0 <=; 0 <~>)
% Maximal formula depth : 23 ( 15 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 22 ( 22 >; 0 *; 0 +; 0 <<)
% Number of symbols : 9 ( 8 usr; 1 con; 0-3 aty)
% Number of variables : 98 ( 0 ^; 92 !; 6 ?; 98 :)
% Comments :
%------------------------------------------------------------------------------
thf(organization_type,type,
organization: $i > $i > $o ).
thf(reorganization_free_type,type,
reorganization_free: $i > $i > $i > $o ).
thf(inertia_type,type,
inertia: $i > $i > $i > $o ).
thf(survival_chance_type,type,
survival_chance: $i > $i > $i > $o ).
thf(greater_type,type,
greater: $i > $i > $o ).
thf(reliability_type,type,
reliability: $i > $i > $i > $o ).
thf(accountability_type,type,
accountability: $i > $i > $i > $o ).
thf(reproducibility_type,type,
reproducibility: $i > $i > $i > $o ).
thf(5,axiom,
! [A: $i,B: $i] :
( ( organization @ A @ B )
=> ? [C: $i] : ( reproducibility @ A @ C @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp3) ).
thf(24,plain,
! [A: $i,B: $i] :
( ( organization @ A @ B )
=> ? [C: $i] : ( reproducibility @ A @ C @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(8,axiom,
! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i,G: $i,H: $i] :
( ( ( organization @ A @ C )
& ( organization @ B @ D )
& ( reorganization_free @ A @ C @ C )
& ( reorganization_free @ B @ D @ D )
& ( reproducibility @ A @ E @ C )
& ( reproducibility @ B @ F @ D )
& ( inertia @ A @ G @ C )
& ( inertia @ B @ H @ D ) )
=> ( ( greater @ F @ E )
<=> ( greater @ H @ G ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a3_FOL) ).
thf(33,plain,
! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i,G: $i,H: $i] :
( ( ( organization @ A @ C )
& ( organization @ B @ D )
& ( reorganization_free @ A @ C @ C )
& ( reorganization_free @ B @ D @ D )
& ( reproducibility @ A @ E @ C )
& ( reproducibility @ B @ F @ D )
& ( inertia @ A @ G @ C )
& ( inertia @ B @ H @ D ) )
=> ( ( ( greater @ F @ E )
=> ( greater @ H @ G ) )
& ( ( greater @ H @ G )
=> ( greater @ F @ E ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(1,conjecture,
! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i,G: $i,H: $i] :
( ( ( organization @ A @ C )
& ( organization @ B @ D )
& ( reorganization_free @ A @ C @ C )
& ( reorganization_free @ B @ D @ D )
& ( inertia @ A @ E @ C )
& ( inertia @ B @ F @ D )
& ( survival_chance @ A @ G @ C )
& ( survival_chance @ B @ H @ D )
& ( greater @ F @ E ) )
=> ( greater @ H @ G ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t1_FOL) ).
thf(2,negated_conjecture,
~ ! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i,G: $i,H: $i] :
( ( ( organization @ A @ C )
& ( organization @ B @ D )
& ( reorganization_free @ A @ C @ C )
& ( reorganization_free @ B @ D @ D )
& ( inertia @ A @ E @ C )
& ( inertia @ B @ F @ D )
& ( survival_chance @ A @ G @ C )
& ( survival_chance @ B @ H @ D )
& ( greater @ F @ E ) )
=> ( greater @ H @ G ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(9,plain,
~ ! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i,G: $i,H: $i] :
( ( ( organization @ A @ C )
& ( organization @ B @ D )
& ( reorganization_free @ A @ C @ C )
& ( reorganization_free @ B @ D @ D )
& ( inertia @ A @ E @ C )
& ( inertia @ B @ F @ D )
& ( survival_chance @ A @ G @ C )
& ( survival_chance @ B @ H @ D )
& ( greater @ F @ E ) )
=> ( greater @ H @ G ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(4,axiom,
! [A: $i,B: $i] :
( ( organization @ A @ B )
=> ? [C: $i] : ( accountability @ A @ C @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp2) ).
thf(22,plain,
! [A: $i,B: $i] :
( ( organization @ A @ B )
=> ? [C: $i] : ( accountability @ A @ C @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(6,axiom,
! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i,G: $i,H: $i,I: $i,J: $i] :
( ( ( organization @ A @ I )
& ( organization @ B @ J )
& ( reliability @ A @ C @ I )
& ( reliability @ B @ D @ J )
& ( accountability @ A @ E @ I )
& ( accountability @ B @ F @ J )
& ( survival_chance @ A @ G @ I )
& ( survival_chance @ B @ H @ J )
& ( greater @ D @ C )
& ( greater @ F @ E ) )
=> ( greater @ H @ G ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a1_FOL) ).
thf(26,plain,
! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i,G: $i,H: $i,I: $i,J: $i] :
( ( ( organization @ A @ I )
& ( organization @ B @ J )
& ( reliability @ A @ C @ I )
& ( reliability @ B @ D @ J )
& ( accountability @ A @ E @ I )
& ( accountability @ B @ F @ J )
& ( survival_chance @ A @ G @ I )
& ( survival_chance @ B @ H @ J )
& ( greater @ D @ C )
& ( greater @ F @ E ) )
=> ( greater @ H @ G ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(3,axiom,
! [A: $i,B: $i] :
( ( organization @ A @ B )
=> ? [C: $i] : ( reliability @ A @ C @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp1) ).
thf(20,plain,
! [A: $i,B: $i] :
( ( organization @ A @ B )
=> ? [C: $i] : ( reliability @ A @ C @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(7,axiom,
! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i,G: $i,H: $i,I: $i,J: $i] :
( ( ( organization @ A @ C )
& ( organization @ B @ D )
& ( reliability @ A @ E @ C )
& ( reliability @ B @ F @ D )
& ( accountability @ A @ G @ C )
& ( accountability @ B @ H @ D )
& ( reproducibility @ A @ I @ C )
& ( reproducibility @ B @ J @ D ) )
=> ( ( greater @ J @ I )
<=> ( ( greater @ F @ E )
& ( greater @ H @ G ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a2_FOL) ).
thf(29,plain,
! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i,G: $i,H: $i,I: $i,J: $i] :
( ( ( organization @ A @ C )
& ( organization @ B @ D )
& ( reliability @ A @ E @ C )
& ( reliability @ B @ F @ D )
& ( accountability @ A @ G @ C )
& ( accountability @ B @ H @ D )
& ( reproducibility @ A @ I @ C )
& ( reproducibility @ B @ J @ D ) )
=> ( ( ( greater @ J @ I )
=> ( ( greater @ F @ E )
& ( greater @ H @ G ) ) )
& ( ( ( greater @ F @ E )
& ( greater @ H @ G ) )
=> ( greater @ J @ I ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(36,plain,
$false,
inference(e,[status(thm)],[24,33,9,22,26,20,29]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : MGT001+1 : TPTP v8.1.2. Released v2.0.0.
% 0.14/0.14 % Command : run_Leo-III %s %d
% 0.15/0.36 % Computer : n021.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Thu May 18 23:38:58 EDT 2023
% 0.15/0.36 % CPUTime :
% 0.84/0.81 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.05/0.93 % [INFO] Parsing done (121ms).
% 1.24/0.94 % [INFO] Running in sequential loop mode.
% 1.48/1.15 % [INFO] eprover registered as external prover.
% 1.48/1.15 % [INFO] cvc4 registered as external prover.
% 1.64/1.16 % [INFO] Scanning for conjecture ...
% 1.73/1.22 % [INFO] Found a conjecture and 6 axioms. Running axiom selection ...
% 1.84/1.25 % [INFO] Axiom selection finished. Selected 6 axioms (removed 0 axioms).
% 1.84/1.28 % [INFO] Problem is first-order (TPTP FOF).
% 1.84/1.29 % [INFO] Type checking passed.
% 1.84/1.29 % [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 ...
% 3.03/1.75 % External prover 'e' found a proof!
% 3.03/1.75 % [INFO] Killing All external provers ...
% 3.03/1.75 % Time passed: 1238ms (effective reasoning time: 811ms)
% 3.03/1.75 % 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)>
% 3.03/1.75 % Axioms used in derivation (6): mp2, a3_FOL, a2_FOL, mp1, a1_FOL, mp3
% 3.03/1.75 % No. of inferences in proof: 16
% 3.03/1.75 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 1238 ms resp. 811 ms w/o parsing
% 3.49/1.84 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 3.49/1.84 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------