TSTP Solution File: MGT049-1 by Leo-III---1.7.7
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%------------------------------------------------------------------------------
% File : Leo-III---1.7.7
% Problem : MGT049-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n028.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 11:35:26 EDT 2023
% Result : Unsatisfiable 2.83s 1.66s
% Output : Refutation 3.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 28
% Syntax : Number of formulae : 46 ( 7 unt; 11 typ; 0 def)
% Number of atoms : 75 ( 18 equ; 0 cnn)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 236 ( 36 ~; 40 |; 0 &; 160 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 15 ( 15 >; 0 *; 0 +; 0 <<)
% Number of symbols : 13 ( 11 usr; 4 con; 0-2 aty)
% Number of variables : 64 ( 0 ^; 64 !; 0 ?; 64 :)
% Comments :
%------------------------------------------------------------------------------
thf(organization_type,type,
organization: $i > $o ).
thf(sk1_type,type,
sk1: $i ).
thf(greater_type,type,
greater: $i > $i > $o ).
thf(age_type,type,
age: $i > $i > $i ).
thf(sk3_type,type,
sk3: $i ).
thf(sk2_type,type,
sk2: $i ).
thf(position_type,type,
position: $i > $i > $i ).
thf(smaller_or_equal_type,type,
smaller_or_equal: $i > $i > $o ).
thf(smaller_type,type,
smaller: $i > $i > $o ).
thf(greater_or_equal_type,type,
greater_or_equal: $i > $i > $o ).
thf(external_ties_type,type,
external_ties: $i > $i > $i ).
thf(9,axiom,
! [B: $i,A: $i] :
( ( A != B )
| ( greater_or_equal @ A @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',definition_greater_or_equal_6) ).
thf(37,plain,
! [B: $i,A: $i] :
( ( A != B )
| ( greater_or_equal @ A @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(15,axiom,
! [C: $i,B: $i,A: $i] :
( ~ ( organization @ A )
| ~ ( greater @ ( external_ties @ A @ B ) @ ( external_ties @ A @ C ) )
| ( greater @ ( position @ A @ B ) @ ( position @ A @ C ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_6_30) ).
thf(52,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( organization @ A )
| ~ ( greater @ ( external_ties @ A @ B ) @ ( external_ties @ A @ C ) )
| ( greater @ ( position @ A @ B ) @ ( position @ A @ C ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[15]) ).
thf(6,axiom,
! [B: $i,A: $i] :
( ( A != B )
| ( smaller_or_equal @ A @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',definition_smaller_or_equal_3) ).
thf(28,plain,
! [B: $i,A: $i] :
( ( A != B )
| ( smaller_or_equal @ A @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(10,axiom,
! [B: $i,A: $i] :
( ~ ( smaller @ A @ B )
| ( greater @ B @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',definition_smaller_7) ).
thf(41,plain,
! [B: $i,A: $i] :
( ~ ( smaller @ A @ B )
| ( greater @ B @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).
thf(8,axiom,
! [B: $i,A: $i] :
( ~ ( greater @ A @ B )
| ( greater_or_equal @ A @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',definition_greater_or_equal_5) ).
thf(35,plain,
! [B: $i,A: $i] :
( ~ ( greater @ A @ B )
| ( greater_or_equal @ A @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(1,negated_conjecture,
organization @ sk1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lemma_6_33) ).
thf(18,plain,
organization @ sk1,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(11,axiom,
! [B: $i,A: $i] :
( ~ ( greater @ A @ B )
| ( smaller @ B @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',definition_smaller_8) ).
thf(43,plain,
! [B: $i,A: $i] :
( ~ ( greater @ A @ B )
| ( smaller @ B @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).
thf(2,negated_conjecture,
greater @ ( age @ sk1 @ sk3 ) @ ( age @ sk1 @ sk2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lemma_6_34) ).
thf(19,plain,
greater @ ( age @ sk1 @ sk3 ) @ ( age @ sk1 @ sk2 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(13,axiom,
! [C: $i,B: $i,A: $i] :
( ~ ( greater @ A @ B )
| ~ ( greater @ B @ C )
| ( greater @ A @ C ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',meaning_postulate_greater_transitive_10) ).
thf(47,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( greater @ A @ B )
| ~ ( greater @ B @ C )
| ( greater @ A @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[13]) ).
thf(3,negated_conjecture,
( ( position @ sk1 @ sk3 )
!= ( position @ sk1 @ sk2 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lemma_6_35) ).
thf(20,plain,
( ( position @ sk1 @ sk3 )
!= ( position @ sk1 @ sk2 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(17,axiom,
! [C: $i,B: $i,A: $i] :
( ~ ( organization @ A )
| ( ( external_ties @ A @ B )
= ( external_ties @ A @ C ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_11_32) ).
thf(57,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( organization @ A )
| ( ( external_ties @ A @ B )
= ( external_ties @ A @ C ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[17]) ).
thf(7,axiom,
! [B: $i,A: $i] :
( ~ ( greater_or_equal @ A @ B )
| ( greater @ A @ B )
| ( A = B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',definition_greater_or_equal_4) ).
thf(32,plain,
! [B: $i,A: $i] :
( ~ ( greater_or_equal @ A @ B )
| ( greater @ A @ B )
| ( A = B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(12,axiom,
! [B: $i,A: $i] :
( ~ ( greater @ A @ B )
| ~ ( greater @ B @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',meaning_postulate_greater_strict_9) ).
thf(45,plain,
! [B: $i,A: $i] :
( ~ ( greater @ A @ B )
| ~ ( greater @ B @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).
thf(16,axiom,
! [C: $i,B: $i,A: $i] :
( ~ ( organization @ A )
| ( ( external_ties @ A @ B )
!= ( external_ties @ A @ C ) )
| ( ( position @ A @ B )
= ( position @ A @ C ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_6_31) ).
thf(54,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( organization @ A )
| ( ( external_ties @ A @ B )
!= ( external_ties @ A @ C ) )
| ( ( position @ A @ B )
= ( position @ A @ C ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[16]) ).
thf(14,axiom,
! [B: $i,A: $i] :
( ( smaller @ A @ B )
| ( A = B )
| ( greater @ A @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',meaning_postulate_greater_comparable_11) ).
thf(49,plain,
! [B: $i,A: $i] :
( ( smaller @ A @ B )
| ( A = B )
| ( greater @ A @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[14]) ).
thf(5,axiom,
! [B: $i,A: $i] :
( ~ ( smaller @ A @ B )
| ( smaller_or_equal @ A @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',definition_smaller_or_equal_2) ).
thf(26,plain,
! [B: $i,A: $i] :
( ~ ( smaller @ A @ B )
| ( smaller_or_equal @ A @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(4,axiom,
! [B: $i,A: $i] :
( ~ ( smaller_or_equal @ A @ B )
| ( smaller @ A @ B )
| ( A = B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',definition_smaller_or_equal_1) ).
thf(23,plain,
! [B: $i,A: $i] :
( ~ ( smaller_or_equal @ A @ B )
| ( smaller @ A @ B )
| ( A = B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(62,plain,
$false,
inference(e,[status(thm)],[37,52,28,41,35,18,43,19,47,20,57,32,45,54,49,26,23]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : MGT049-1 : TPTP v8.1.2. Released v2.4.0.
% 0.11/0.15 % Command : run_Leo-III %s %d
% 0.15/0.36 % Computer : n028.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 23:55:04 EDT 2023
% 0.15/0.36 % CPUTime :
% 0.83/0.86 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.10/0.99 % [INFO] Parsing done (133ms).
% 1.36/1.00 % [INFO] Running in sequential loop mode.
% 1.70/1.20 % [INFO] eprover registered as external prover.
% 1.70/1.20 % [INFO] cvc4 registered as external prover.
% 1.70/1.21 % [INFO] Scanning for conjecture ...
% 1.81/1.26 % [INFO] Found a conjecture and 14 axioms. Running axiom selection ...
% 1.81/1.28 % [INFO] Axiom selection finished. Selected 14 axioms (removed 0 axioms).
% 1.81/1.29 % [INFO] Problem is propositional (TPTP CNF).
% 1.81/1.30 % [INFO] Type checking passed.
% 1.81/1.30 % [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 ...
% 2.83/1.66 % External prover 'e' found a proof!
% 2.83/1.66 % [INFO] Killing All external provers ...
% 2.83/1.66 % Time passed: 1149ms (effective reasoning time: 653ms)
% 2.83/1.66 % 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)>
% 2.83/1.66 % Axioms used in derivation (14): definition_greater_or_equal_5, assumption_6_31, definition_smaller_or_equal_3, definition_greater_or_equal_6, assumption_6_30, meaning_postulate_greater_comparable_11, definition_smaller_or_equal_1, definition_smaller_or_equal_2, definition_greater_or_equal_4, assumption_11_32, meaning_postulate_greater_strict_9, definition_smaller_7, definition_smaller_8, meaning_postulate_greater_transitive_10
% 2.83/1.66 % No. of inferences in proof: 35
% 2.83/1.66 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 1149 ms resp. 653 ms w/o parsing
% 3.15/1.74 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 3.15/1.74 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------