TSTP Solution File: MGT014+1 by Leo-III---1.7.7
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Leo-III---1.7.7
% Problem : MGT014+1 : TPTP v8.1.2. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n025.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 11:35:13 EDT 2023
% Result : Theorem 3.09s 1.70s
% Output : Refutation 3.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 15
% Syntax : Number of formulae : 26 ( 1 unt; 6 typ; 0 def)
% Number of atoms : 94 ( 8 equ; 0 cnn)
% Maximal formula atoms : 9 ( 4 avg)
% Number of connectives : 286 ( 13 ~; 4 |; 55 &; 199 @)
% ( 0 <=>; 15 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 11 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 14 ( 14 >; 0 *; 0 +; 0 <<)
% Number of symbols : 8 ( 6 usr; 1 con; 0-3 aty)
% Number of variables : 73 ( 0 ^; 73 !; 0 ?; 73 :)
% Comments :
%------------------------------------------------------------------------------
thf(organization_type,type,
organization: $i > $i > $o ).
thf(reorganization_free_type,type,
reorganization_free: $i > $i > $i > $o ).
thf(complexity_type,type,
complexity: $i > $i > $i > $o ).
thf(size_type,type,
size: $i > $i > $i > $o ).
thf(greater_type,type,
greater: $i > $i > $o ).
thf(time_type,type,
time: $i > $o ).
thf(7,axiom,
! [A: $i,B: $i,C: $i] :
( ( reorganization_free @ A @ B @ C )
=> ( reorganization_free @ A @ C @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp17) ).
thf(35,plain,
! [A: $i,B: $i,C: $i] :
( ( reorganization_free @ A @ B @ C )
=> ( reorganization_free @ A @ C @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(1,conjecture,
! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i,G: $i] :
( ( ( organization @ A @ F )
& ( organization @ A @ G )
& ( reorganization_free @ A @ F @ G )
& ( complexity @ A @ B @ F )
& ( complexity @ A @ C @ G )
& ( size @ A @ D @ F )
& ( size @ A @ E @ G )
& ( greater @ E @ D ) )
=> ~ ( greater @ B @ C ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t14_FOL) ).
thf(2,negated_conjecture,
~ ! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i,G: $i] :
( ( ( organization @ A @ F )
& ( organization @ A @ G )
& ( reorganization_free @ A @ F @ G )
& ( complexity @ A @ B @ F )
& ( complexity @ A @ C @ G )
& ( size @ A @ D @ F )
& ( size @ A @ E @ G )
& ( greater @ E @ D ) )
=> ~ ( greater @ B @ C ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(11,plain,
~ ! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i,G: $i] :
( ( ( organization @ A @ F )
& ( organization @ A @ G )
& ( reorganization_free @ A @ F @ G )
& ( complexity @ A @ B @ F )
& ( complexity @ A @ C @ G )
& ( size @ A @ D @ F )
& ( size @ A @ E @ G )
& ( greater @ E @ D ) )
=> ~ ( greater @ B @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(5,axiom,
! [A: $i,B: $i] :
( ( organization @ A @ B )
=> ( time @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp15) ).
thf(30,plain,
! [A: $i,B: $i] :
( ( organization @ A @ B )
=> ( time @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(9,axiom,
! [A: $i,B: $i,C: $i,D: $i,E: $i] :
( ( ( organization @ A @ D )
& ( organization @ A @ E )
& ( reorganization_free @ A @ D @ E )
& ( size @ A @ B @ D )
& ( size @ A @ C @ E )
& ( greater @ E @ D ) )
=> ~ ( greater @ B @ C ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t11_FOL) ).
thf(42,plain,
! [A: $i,B: $i,C: $i,D: $i,E: $i] :
( ( ( organization @ A @ D )
& ( organization @ A @ E )
& ( reorganization_free @ A @ D @ E )
& ( size @ A @ B @ D )
& ( size @ A @ C @ E )
& ( greater @ E @ D ) )
=> ~ ( greater @ B @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(8,axiom,
! [A: $i,B: $i,C: $i,D: $i,E: $i] :
( ( ( organization @ A @ D )
& ( organization @ A @ E )
& ( size @ A @ B @ D )
& ( size @ A @ C @ E )
& ( D = E ) )
=> ( B = C ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp19) ).
thf(37,plain,
! [A: $i,B: $i,C: $i,D: $i,E: $i] :
( ( ( organization @ A @ D )
& ( organization @ A @ E )
& ( size @ A @ B @ D )
& ( size @ A @ C @ E )
& ( D = E ) )
=> ( B = C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(6,axiom,
! [A: $i,B: $i] :
( ( ( time @ A )
& ( time @ B ) )
=> ( ( greater @ A @ B )
| ( A = B )
| ( greater @ B @ A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp16) ).
thf(32,plain,
! [A: $i,B: $i] :
( ( ( time @ A )
& ( time @ B ) )
=> ( ( greater @ A @ B )
| ( A = B )
| ( greater @ B @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(10,axiom,
! [A: $i,B: $i,C: $i,D: $i,E: $i] :
( ( ( organization @ A @ D )
& ( organization @ A @ E )
& ( reorganization_free @ A @ D @ E )
& ( complexity @ A @ B @ D )
& ( complexity @ A @ C @ E )
& ( greater @ E @ D ) )
=> ~ ( greater @ B @ C ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t12_FOL) ).
thf(45,plain,
! [A: $i,B: $i,C: $i,D: $i,E: $i] :
( ( ( organization @ A @ D )
& ( organization @ A @ E )
& ( reorganization_free @ A @ D @ E )
& ( complexity @ A @ B @ D )
& ( complexity @ A @ C @ E )
& ( greater @ E @ D ) )
=> ~ ( greater @ B @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).
thf(3,axiom,
! [A: $i,B: $i] :
~ ( ( greater @ A @ B )
& ( A = B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp6_1) ).
thf(22,plain,
! [A: $i,B: $i] :
~ ( ( greater @ A @ B )
& ( A = B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(4,axiom,
! [A: $i,B: $i] :
~ ( ( greater @ A @ B )
& ( greater @ B @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp6_2) ).
thf(27,plain,
! [A: $i,B: $i] :
~ ( ( greater @ A @ B )
& ( greater @ B @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(48,plain,
$false,
inference(e,[status(thm)],[35,11,30,42,37,32,45,22,27]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : MGT014+1 : TPTP v8.1.2. Released v2.0.0.
% 0.10/0.15 % Command : run_Leo-III %s %d
% 0.16/0.35 % Computer : n025.cluster.edu
% 0.16/0.35 % Model : x86_64 x86_64
% 0.16/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.35 % Memory : 8042.1875MB
% 0.16/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.35 % CPULimit : 300
% 0.16/0.35 % WCLimit : 300
% 0.16/0.35 % DateTime : Thu May 18 23:52:34 EDT 2023
% 0.16/0.36 % CPUTime :
% 0.85/0.84 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.17/0.96 % [INFO] Parsing done (124ms).
% 1.17/0.97 % [INFO] Running in sequential loop mode.
% 1.50/1.16 % [INFO] eprover registered as external prover.
% 1.50/1.16 % [INFO] cvc4 registered as external prover.
% 1.50/1.16 % [INFO] Scanning for conjecture ...
% 1.85/1.24 % [INFO] Found a conjecture and 8 axioms. Running axiom selection ...
% 1.85/1.27 % [INFO] Axiom selection finished. Selected 8 axioms (removed 0 axioms).
% 1.85/1.29 % [INFO] Problem is first-order (TPTP FOF).
% 1.85/1.30 % [INFO] Type checking passed.
% 1.85/1.30 % [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 ...
% 3.09/1.70 % External prover 'e' found a proof!
% 3.09/1.70 % [INFO] Killing All external provers ...
% 3.09/1.70 % Time passed: 1195ms (effective reasoning time: 731ms)
% 3.09/1.70 % 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)>
% 3.09/1.70 % Axioms used in derivation (8): mp17, t11_FOL, t12_FOL, mp19, mp15, mp6_2, mp6_1, mp16
% 3.09/1.70 % No. of inferences in proof: 20
% 3.09/1.70 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 1195 ms resp. 731 ms w/o parsing
% 3.09/1.75 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 3.09/1.75 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------