TSTP Solution File: MGT005-1 by Leo-III---1.7.7
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%------------------------------------------------------------------------------
% File : Leo-III---1.7.7
% Problem : MGT005-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n017.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 11:35:10 EDT 2023
% Result : Unsatisfiable 3.65s 1.88s
% Output : Refutation 3.65s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 50
% Syntax : Number of formulae : 80 ( 39 unt; 21 typ; 0 def)
% Number of atoms : 167 ( 4 equ; 0 cnn)
% Maximal formula atoms : 19 ( 2 avg)
% Number of connectives : 626 ( 108 ~; 108 |; 0 &; 410 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 33 ( 7 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 24 ( 24 >; 0 *; 0 +; 0 <<)
% Number of symbols : 23 ( 21 usr; 13 con; 0-3 aty)
% Number of variables : 98 ( 0 ^; 98 !; 0 ?; 98 :)
% 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(sk13_type,type,
sk13: $i ).
thf(class_type,type,
class: $i > $i > $i > $o ).
thf(sk5_type,type,
sk5: $i ).
thf(survival_chance_type,type,
survival_chance: $i > $i > $i > $o ).
thf(sk6_type,type,
sk6: $i ).
thf(reorganization_type,type,
reorganization: $i > $i > $i > $o ).
thf(sk12_type,type,
sk12: $i ).
thf(reorganization_type_type,type,
reorganization_type: $i > $i > $i > $o ).
thf(sk4_type,type,
sk4: $i ).
thf(reorganization_free_type,type,
reorganization_free: $i > $i > $i > $o ).
thf(sk7_type,type,
sk7: $i ).
thf(sk8_type,type,
sk8: $i ).
thf(complexity_type,type,
complexity: $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(sk1_type,type,
sk1: $i > $i > $i ).
thf(22,axiom,
! [C: $i,B: $i,A: $i] :
( ~ ( greater @ A @ B )
| ~ ( greater @ B @ C )
| ( greater @ A @ C ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp11_28) ).
thf(56,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( greater @ A @ B )
| ~ ( greater @ B @ C )
| ( greater @ A @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[22]) ).
thf(19,negated_conjecture,
~ ( greater @ sk7 @ sk8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t5_FOL_54) ).
thf(46,plain,
~ ( greater @ sk7 @ sk8 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[19]) ).
thf(24,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( organization @ A @ B )
| ~ ( organization @ A @ C )
| ~ ( greater @ D @ B )
| ~ ( greater @ C @ D )
| ( organization @ A @ D ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp13_30) ).
thf(60,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( organization @ A @ B )
| ~ ( organization @ A @ C )
| ~ ( greater @ D @ B )
| ~ ( greater @ C @ D )
| ( organization @ A @ D ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[24]) ).
thf(3,negated_conjecture,
organization @ sk2 @ sk13,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t5_FOL_38) ).
thf(41,plain,
organization @ sk2 @ sk13,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(11,negated_conjecture,
reorganization_type @ sk2 @ sk4 @ sk11,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t5_FOL_46) ).
thf(44,plain,
reorganization_type @ sk2 @ sk4 @ sk11,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).
thf(21,axiom,
! [B: $i,A: $i] :
( ~ ( greater @ A @ B )
| ~ ( greater @ B @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp6_2_27) ).
thf(54,plain,
! [B: $i,A: $i] :
( ~ ( greater @ A @ B )
| ~ ( greater @ B @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[21]) ).
thf(12,negated_conjecture,
reorganization_type @ sk3 @ sk4 @ sk11,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t5_FOL_47) ).
thf(39,plain,
reorganization_type @ sk3 @ sk4 @ sk11,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).
thf(27,axiom,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( organization @ A @ B )
| ~ ( organization @ A @ C )
| ~ ( reorganization @ A @ D @ E )
| ~ ( survival_chance @ A @ F @ B )
| ~ ( survival_chance @ A @ G @ C )
| ( greater @ D @ B )
| ~ ( greater @ C @ B )
| ( greater @ C @ E )
| ( greater @ F @ G ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t4_FOL_33) ).
thf(66,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( organization @ A @ B )
| ~ ( organization @ A @ C )
| ~ ( reorganization @ A @ D @ E )
| ~ ( survival_chance @ A @ F @ B )
| ~ ( survival_chance @ A @ G @ C )
| ( greater @ D @ B )
| ~ ( greater @ C @ B )
| ( greater @ C @ E )
| ( greater @ F @ G ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[27]) ).
thf(9,negated_conjecture,
reorganization @ sk2 @ sk11 @ sk12,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t5_FOL_44) ).
thf(35,plain,
reorganization @ sk2 @ sk11 @ sk12,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(15,negated_conjecture,
survival_chance @ sk3 @ sk8 @ sk13,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t5_FOL_50) ).
thf(48,plain,
survival_chance @ sk3 @ sk8 @ sk13,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[15]) ).
thf(16,negated_conjecture,
complexity @ sk2 @ sk9 @ sk11,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t5_FOL_51) ).
thf(43,plain,
complexity @ sk2 @ sk9 @ sk11,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[16]) ).
thf(7,negated_conjecture,
survival_chance @ sk2 @ sk6 @ sk11,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t5_FOL_42) ).
thf(40,plain,
survival_chance @ sk2 @ sk6 @ sk11,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(23,axiom,
! [B: $i,A: $i] :
( ~ ( organization @ A @ B )
| ( survival_chance @ A @ ( sk1 @ B @ A ) @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp12_29) ).
thf(58,plain,
! [B: $i,A: $i] :
( ~ ( organization @ A @ B )
| ( survival_chance @ A @ ( sk1 @ B @ A ) @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[23]) ).
thf(18,negated_conjecture,
greater @ sk10 @ sk9,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t5_FOL_53) ).
thf(42,plain,
greater @ sk10 @ sk9,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[18]) ).
thf(2,negated_conjecture,
organization @ sk3 @ sk11,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t5_FOL_37) ).
thf(37,plain,
organization @ sk3 @ sk11,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(17,negated_conjecture,
complexity @ sk3 @ sk10 @ sk11,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t5_FOL_52) ).
thf(38,plain,
complexity @ sk3 @ sk10 @ sk11,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[17]) ).
thf(29,axiom,
! [L: $i,K: $i,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 @ B )
| ~ ( organization @ A @ D )
| ~ ( organization @ C @ D )
| ~ ( class @ A @ E @ B )
| ~ ( class @ C @ E @ B )
| ~ ( survival_chance @ A @ F @ B )
| ~ ( survival_chance @ C @ F @ B )
| ~ ( reorganization @ A @ B @ D )
| ~ ( reorganization @ C @ B @ G )
| ~ ( reorganization_type @ A @ H @ B )
| ~ ( reorganization_type @ C @ H @ B )
| ~ ( survival_chance @ A @ I @ D )
| ~ ( survival_chance @ C @ J @ D )
| ~ ( complexity @ A @ K @ B )
| ~ ( complexity @ C @ L @ B )
| ~ ( greater @ L @ K )
| ( greater @ I @ J )
| ( I = J ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a11_FOL_35) ).
thf(70,plain,
! [L: $i,K: $i,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 @ B )
| ~ ( organization @ A @ D )
| ~ ( organization @ C @ D )
| ~ ( class @ A @ E @ B )
| ~ ( class @ C @ E @ B )
| ~ ( survival_chance @ A @ F @ B )
| ~ ( survival_chance @ C @ F @ B )
| ~ ( reorganization @ A @ B @ D )
| ~ ( reorganization @ C @ B @ G )
| ~ ( reorganization_type @ A @ H @ B )
| ~ ( reorganization_type @ C @ H @ B )
| ~ ( survival_chance @ A @ I @ D )
| ~ ( survival_chance @ C @ J @ D )
| ~ ( complexity @ A @ K @ B )
| ~ ( complexity @ C @ L @ B )
| ~ ( greater @ L @ K )
| ( greater @ I @ J )
| ( I = J ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[29]) ).
thf(1,negated_conjecture,
organization @ sk2 @ sk11,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t5_FOL_36) ).
thf(33,plain,
organization @ sk2 @ sk11,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(8,negated_conjecture,
survival_chance @ sk3 @ sk6 @ sk11,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t5_FOL_43) ).
thf(45,plain,
survival_chance @ sk3 @ sk6 @ sk11,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(26,axiom,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( organization @ A @ B )
| ~ ( organization @ A @ C )
| ~ ( reorganization_free @ A @ B @ C )
| ~ ( survival_chance @ A @ D @ B )
| ~ ( survival_chance @ A @ E @ C )
| ~ ( greater @ C @ B )
| ( greater @ E @ D ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t3_FOL_32) ).
thf(64,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( organization @ A @ B )
| ~ ( organization @ A @ C )
| ~ ( reorganization_free @ A @ B @ C )
| ~ ( survival_chance @ A @ D @ B )
| ~ ( survival_chance @ A @ E @ C )
| ~ ( greater @ C @ B )
| ( greater @ E @ D ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[26]) ).
thf(14,negated_conjecture,
survival_chance @ sk2 @ sk7 @ sk13,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t5_FOL_49) ).
thf(32,plain,
survival_chance @ sk2 @ sk7 @ sk13,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[14]) ).
thf(6,negated_conjecture,
class @ sk3 @ sk5 @ sk11,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t5_FOL_41) ).
thf(34,plain,
class @ sk3 @ sk5 @ sk11,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(20,axiom,
! [B: $i,A: $i] :
( ~ ( greater @ A @ B )
| ( A != B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp6_1_26) ).
thf(50,plain,
! [B: $i,A: $i] :
( ~ ( greater @ A @ B )
| ( A != B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[20]) ).
thf(10,negated_conjecture,
reorganization @ sk3 @ sk11 @ sk13,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t5_FOL_45) ).
thf(31,plain,
reorganization @ sk3 @ sk11 @ sk13,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).
thf(13,negated_conjecture,
reorganization_free @ sk2 @ sk12 @ sk13,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t5_FOL_48) ).
thf(36,plain,
reorganization_free @ sk2 @ sk12 @ sk13,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[13]) ).
thf(5,negated_conjecture,
class @ sk2 @ sk5 @ sk11,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t5_FOL_40) ).
thf(30,plain,
class @ sk2 @ sk5 @ sk11,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(4,negated_conjecture,
organization @ sk3 @ sk13,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t5_FOL_39) ).
thf(47,plain,
organization @ sk3 @ sk13,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(28,axiom,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( organization @ A @ B )
| ~ ( organization @ C @ B )
| ~ ( organization @ C @ D )
| ~ ( class @ A @ E @ B )
| ~ ( class @ C @ E @ B )
| ~ ( reorganization @ A @ B @ F )
| ~ ( reorganization @ C @ B @ D )
| ~ ( reorganization_type @ A @ G @ B )
| ~ ( reorganization_type @ C @ G @ B )
| ~ ( complexity @ A @ H @ B )
| ~ ( complexity @ C @ I @ B )
| ~ ( greater @ I @ H )
| ( greater @ D @ F ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a10_FOL_34) ).
thf(68,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( organization @ A @ B )
| ~ ( organization @ C @ B )
| ~ ( organization @ C @ D )
| ~ ( class @ A @ E @ B )
| ~ ( class @ C @ E @ B )
| ~ ( reorganization @ A @ B @ F )
| ~ ( reorganization @ C @ B @ D )
| ~ ( reorganization_type @ A @ G @ B )
| ~ ( reorganization_type @ C @ G @ B )
| ~ ( complexity @ A @ H @ B )
| ~ ( complexity @ C @ I @ B )
| ~ ( greater @ I @ H )
| ( greater @ D @ F ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[28]) ).
thf(25,axiom,
! [C: $i,B: $i,A: $i] :
( ~ ( reorganization @ A @ B @ C )
| ( greater @ C @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp7_31) ).
thf(62,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( reorganization @ A @ B @ C )
| ( greater @ C @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[25]) ).
thf(75,plain,
$false,
inference(e,[status(thm)],[56,46,60,41,44,54,39,66,35,48,43,40,58,42,37,38,70,33,45,64,32,34,50,31,36,30,47,68,62]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : MGT005-1 : TPTP v8.1.2. Released v2.4.0.
% 0.11/0.15 % Command : run_Leo-III %s %d
% 0.15/0.36 % Computer : n017.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 23:09:47 EDT 2023
% 0.15/0.36 % CPUTime :
% 0.86/0.84 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.22/0.96 % [INFO] Parsing done (115ms).
% 1.22/0.96 % [INFO] Running in sequential loop mode.
% 1.58/1.15 % [INFO] eprover registered as external prover.
% 1.58/1.15 % [INFO] cvc4 registered as external prover.
% 1.58/1.15 % [INFO] Scanning for conjecture ...
% 1.85/1.21 % [INFO] Found a conjecture and 10 axioms. Running axiom selection ...
% 1.95/1.24 % [INFO] Axiom selection finished. Selected 10 axioms (removed 0 axioms).
% 1.95/1.26 % [INFO] Problem is propositional (TPTP CNF).
% 1.95/1.27 % [INFO] Type checking passed.
% 1.95/1.27 % [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 ...
% 3.65/1.88 % External prover 'e' found a proof!
% 3.65/1.88 % [INFO] Killing All external provers ...
% 3.65/1.88 % Time passed: 1358ms (effective reasoning time: 911ms)
% 3.65/1.88 % 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)>
% 3.65/1.88 % Axioms used in derivation (10): mp13_30, a10_FOL_34, mp11_28, mp6_2_27, t3_FOL_32, mp12_29, t4_FOL_33, mp6_1_26, mp7_31, a11_FOL_35
% 3.65/1.88 % No. of inferences in proof: 59
% 3.65/1.88 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 1358 ms resp. 911 ms w/o parsing
% 3.65/1.91 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 3.65/1.91 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------