TSTP Solution File: MGT011-1 by Leo-III---1.7.7
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- Process Solution
%------------------------------------------------------------------------------
% File : Leo-III---1.7.7
% Problem : MGT011-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n012.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 3.24s 1.69s
% Output : Refutation 3.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 27
% Syntax : Number of formulae : 42 ( 15 unt; 13 typ; 0 def)
% Number of atoms : 77 ( 4 equ; 0 cnn)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 286 ( 52 ~; 48 |; 0 &; 186 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 22 ( 7 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 20 ( 20 >; 0 *; 0 +; 0 <<)
% Number of symbols : 15 ( 13 usr; 6 con; 0-3 aty)
% Number of variables : 54 ( 0 ^; 54 !; 0 ?; 54 :)
% Comments :
%------------------------------------------------------------------------------
thf(organization_type,type,
organization: $i > $i > $o ).
thf(sk3_type,type,
sk3: $i ).
thf(sk6_type,type,
sk6: $i ).
thf(sk7_type,type,
sk7: $i ).
thf(reorganization_free_type,type,
reorganization_free: $i > $i > $i > $o ).
thf(size_type,type,
size: $i > $i > $i > $o ).
thf(sk4_type,type,
sk4: $i ).
thf(sk5_type,type,
sk5: $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(class_type,type,
class: $i > $i > $i > $o ).
thf(sk2_type,type,
sk2: $i > $i > $i ).
thf(3,negated_conjecture,
reorganization_free @ sk3 @ sk6 @ sk7,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t11_FOL_29) ).
thf(20,plain,
reorganization_free @ sk3 @ sk6 @ sk7,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(8,axiom,
! [B: $i,A: $i] :
( ~ ( organization @ A @ B )
| ( inertia @ A @ ( sk1 @ B @ A ) @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp5_20) ).
thf(22,plain,
! [B: $i,A: $i] :
( ~ ( organization @ A @ B )
| ( inertia @ A @ ( sk1 @ B @ A ) @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(13,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_25) ).
thf(35,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)],[13]) ).
thf(2,negated_conjecture,
organization @ sk3 @ sk7,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t11_FOL_28) ).
thf(18,plain,
organization @ sk3 @ sk7,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(1,negated_conjecture,
organization @ sk3 @ sk6,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t11_FOL_27) ).
thf(16,plain,
organization @ sk3 @ sk6,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(5,negated_conjecture,
size @ sk3 @ sk5 @ sk7,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t11_FOL_31) ).
thf(15,plain,
size @ sk3 @ sk5 @ sk7,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(9,axiom,
! [B: $i,A: $i] :
( ~ ( greater @ A @ B )
| ( A != B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp6_1_21) ).
thf(24,plain,
! [B: $i,A: $i] :
( ~ ( greater @ A @ B )
| ( A != B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(14,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_26) ).
thf(37,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)],[14]) ).
thf(10,axiom,
! [B: $i,A: $i] :
( ~ ( greater @ A @ B )
| ~ ( greater @ B @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp6_2_22) ).
thf(28,plain,
! [B: $i,A: $i] :
( ~ ( greater @ A @ B )
| ~ ( greater @ B @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).
thf(4,negated_conjecture,
size @ sk3 @ sk4 @ sk6,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t11_FOL_30) ).
thf(21,plain,
size @ sk3 @ sk4 @ sk6,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(12,axiom,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( organization @ A @ B )
| ~ ( organization @ A @ C )
| ~ ( reorganization_free @ A @ B @ C )
| ~ ( class @ A @ D @ B )
| ~ ( class @ A @ E @ C )
| ( D = E ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp10_24) ).
thf(32,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( organization @ A @ B )
| ~ ( organization @ A @ C )
| ~ ( reorganization_free @ A @ B @ C )
| ~ ( class @ A @ D @ B )
| ~ ( class @ A @ E @ C )
| ( D = E ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).
thf(6,negated_conjecture,
greater @ sk7 @ sk6,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t11_FOL_32) ).
thf(17,plain,
greater @ sk7 @ sk6,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(11,axiom,
! [B: $i,A: $i] :
( ~ ( organization @ A @ B )
| ( class @ A @ ( sk2 @ B @ A ) @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp9_23) ).
thf(30,plain,
! [B: $i,A: $i] :
( ~ ( organization @ A @ B )
| ( class @ A @ ( sk2 @ B @ A ) @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).
thf(7,negated_conjecture,
greater @ sk4 @ sk5,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t11_FOL_33) ).
thf(19,plain,
greater @ sk4 @ sk5,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(45,plain,
$false,
inference(e,[status(thm)],[20,22,35,18,16,15,24,37,28,21,32,17,30,19]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : MGT011-1 : TPTP v8.1.2. Released v2.4.0.
% 0.10/0.15 % Command : run_Leo-III %s %d
% 0.15/0.35 % Computer : n012.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
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Thu May 18 23:36:02 EDT 2023
% 0.15/0.36 % CPUTime :
% 0.88/0.84 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.20/0.96 % [INFO] Parsing done (118ms).
% 1.20/0.97 % [INFO] Running in sequential loop mode.
% 1.54/1.17 % [INFO] eprover registered as external prover.
% 1.54/1.17 % [INFO] cvc4 registered as external prover.
% 1.54/1.17 % [INFO] Scanning for conjecture ...
% 1.84/1.23 % [INFO] Found a conjecture and 7 axioms. Running axiom selection ...
% 1.86/1.24 % [INFO] Axiom selection finished. Selected 7 axioms (removed 0 axioms).
% 1.86/1.26 % [INFO] Problem is propositional (TPTP CNF).
% 1.86/1.27 % [INFO] Type checking passed.
% 1.86/1.27 % [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 ...
% 3.24/1.69 % External prover 'e' found a proof!
% 3.24/1.69 % [INFO] Killing All external provers ...
% 3.24/1.69 % Time passed: 1182ms (effective reasoning time: 721ms)
% 3.24/1.69 % 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)>
% 3.24/1.69 % Axioms used in derivation (7): mp9_23, mp10_24, mp5_20, mp6_1_21, a5_FOL_25, t2_FOL_26, mp6_2_22
% 3.24/1.69 % No. of inferences in proof: 29
% 3.24/1.69 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 1182 ms resp. 721 ms w/o parsing
% 3.24/1.72 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 3.24/1.72 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------