TSTP Solution File: MSC008-1.002 by Leo-III---1.7.7
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%------------------------------------------------------------------------------
% File : Leo-III---1.7.7
% Problem : MSC008-1.002 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n020.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 : Mon May 22 16:35:05 EDT 2023
% Result : Unsatisfiable 3.15s 1.63s
% Output : Refutation 3.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 22
% Syntax : Number of formulae : 40 ( 5 unt; 5 typ; 0 def)
% Number of atoms : 89 ( 0 equ; 0 cnn)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 338 ( 44 ~; 54 |; 0 &; 240 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 9 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 8 ( 8 >; 0 *; 0 +; 0 <<)
% Number of symbols : 6 ( 5 usr; 3 con; 0-3 aty)
% Number of variables : 102 ( 0 ^; 102 !; 0 ?; 102 :)
% Comments :
%------------------------------------------------------------------------------
thf(greek_type,type,
greek: $i > $i > $i > $o ).
thf(latin_type,type,
latin: $i > $i > $i > $o ).
thf(eq_type,type,
eq: $i > $i > $o ).
thf(p_1_type,type,
p_1: $i ).
thf(p_2_type,type,
p_2: $i ).
thf(4,axiom,
! [B: $i,A: $i] :
( ( greek @ A @ B @ p_1 )
| ( greek @ A @ B @ p_2 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',greek_cell_element) ).
thf(24,plain,
! [B: $i,A: $i] :
( ( greek @ A @ B @ p_1 )
| ( greek @ A @ B @ p_2 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(13,axiom,
! [B: $i,A: $i] :
( ( greek @ p_1 @ A @ B )
| ( greek @ p_2 @ A @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',greek_row_required) ).
thf(41,plain,
! [B: $i,A: $i] :
( ( greek @ p_1 @ A @ B )
| ( greek @ p_2 @ A @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[13]) ).
thf(3,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( greek @ A @ B @ C )
| ~ ( greek @ A @ B @ D )
| ( eq @ C @ D ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',greek_element_is_unique) ).
thf(22,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( greek @ A @ B @ C )
| ~ ( greek @ A @ B @ D )
| ( eq @ C @ D ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(17,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( latin @ A @ B @ C )
| ~ ( latin @ D @ B @ C )
| ( eq @ A @ D ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',latin_row_is_unique) ).
thf(49,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( latin @ A @ B @ C )
| ~ ( latin @ D @ B @ C )
| ( eq @ A @ D ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[17]) ).
thf(12,axiom,
! [B: $i,A: $i] :
( ( latin @ p_1 @ A @ B )
| ( latin @ p_2 @ A @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',latin_row_required) ).
thf(39,plain,
! [B: $i,A: $i] :
( ( latin @ p_1 @ A @ B )
| ( latin @ p_2 @ A @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).
thf(1,negated_conjecture,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( greek @ A @ B @ C )
| ~ ( latin @ A @ B @ D )
| ~ ( greek @ E @ F @ C )
| ~ ( latin @ E @ F @ D )
| ( eq @ B @ F ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',no_two_same1) ).
thf(18,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( greek @ A @ B @ C )
| ~ ( latin @ A @ B @ D )
| ~ ( greek @ E @ F @ C )
| ~ ( latin @ E @ F @ D )
| ( eq @ B @ F ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(14,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( latin @ A @ B @ C )
| ~ ( latin @ A @ B @ D )
| ( eq @ C @ D ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',latin_element_is_unique) ).
thf(43,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( latin @ A @ B @ C )
| ~ ( latin @ A @ B @ D )
| ( eq @ C @ D ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[14]) ).
thf(5,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( greek @ A @ B @ C )
| ~ ( greek @ A @ D @ C )
| ( eq @ B @ D ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',greek_column_is_unique) ).
thf(26,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( greek @ A @ B @ C )
| ~ ( greek @ A @ D @ C )
| ( eq @ B @ D ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(16,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( greek @ A @ B @ C )
| ~ ( greek @ D @ B @ C )
| ( eq @ A @ D ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',greek_row_is_unique) ).
thf(47,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( greek @ A @ B @ C )
| ~ ( greek @ D @ B @ C )
| ( eq @ A @ D ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[16]) ).
thf(6,axiom,
! [B: $i,A: $i] :
( ~ ( eq @ A @ B )
| ( eq @ B @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',symmetry) ).
thf(28,plain,
! [B: $i,A: $i] :
( ~ ( eq @ A @ B )
| ( eq @ B @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(11,axiom,
! [A: $i] : ( eq @ A @ A ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',reflexivity) ).
thf(38,plain,
! [A: $i] : ( eq @ A @ A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).
thf(15,axiom,
! [B: $i,A: $i] :
( ( greek @ A @ p_1 @ B )
| ( greek @ A @ p_2 @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',greek_column_required) ).
thf(45,plain,
! [B: $i,A: $i] :
( ( greek @ A @ p_1 @ B )
| ( greek @ A @ p_2 @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[15]) ).
thf(8,axiom,
! [B: $i,A: $i] :
( ( latin @ A @ B @ p_1 )
| ( latin @ A @ B @ p_2 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',latin_cell_element) ).
thf(32,plain,
! [B: $i,A: $i] :
( ( latin @ A @ B @ p_1 )
| ( latin @ A @ B @ p_2 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(9,axiom,
~ ( eq @ p_1 @ p_2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p_1_is_not_p_2) ).
thf(34,plain,
~ ( eq @ p_1 @ p_2 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(10,axiom,
! [B: $i,A: $i] :
( ( latin @ A @ p_1 @ B )
| ( latin @ A @ p_2 @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',latin_column_required) ).
thf(36,plain,
! [B: $i,A: $i] :
( ( latin @ A @ p_1 @ B )
| ( latin @ A @ p_2 @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).
thf(7,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( latin @ A @ B @ C )
| ~ ( latin @ A @ D @ C )
| ( eq @ B @ D ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',latin_column_is_unique) ).
thf(30,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( latin @ A @ B @ C )
| ~ ( latin @ A @ D @ C )
| ( eq @ B @ D ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(2,negated_conjecture,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( greek @ A @ B @ C )
| ~ ( latin @ A @ B @ D )
| ~ ( greek @ E @ F @ C )
| ~ ( latin @ E @ F @ D )
| ( eq @ A @ E ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',no_two_same2) ).
thf(19,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( greek @ A @ B @ C )
| ~ ( latin @ A @ B @ D )
| ~ ( greek @ E @ F @ C )
| ~ ( latin @ E @ F @ D )
| ( eq @ A @ E ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(54,plain,
$false,
inference(e,[status(thm)],[24,41,22,49,39,18,43,26,47,28,38,45,32,34,36,30,19]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : MSC008-1.002 : TPTP v8.1.2. Released v1.0.0.
% 0.14/0.15 % Command : run_Leo-III %s %d
% 0.14/0.35 % Computer : n020.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Mon May 22 16:42:47 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.85/0.82 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.24/0.94 % [INFO] Parsing done (112ms).
% 1.24/0.95 % [INFO] Running in sequential loop mode.
% 1.51/1.13 % [INFO] eprover registered as external prover.
% 1.51/1.13 % [INFO] cvc4 registered as external prover.
% 1.51/1.13 % [INFO] Scanning for conjecture ...
% 1.70/1.18 % [INFO] Found a conjecture and 15 axioms. Running axiom selection ...
% 1.95/1.23 % [INFO] Axiom selection finished. Selected 15 axioms (removed 0 axioms).
% 1.98/1.24 % [INFO] Problem is propositional (TPTP CNF).
% 1.98/1.25 % [INFO] Type checking passed.
% 1.98/1.25 % [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 ...
% 3.15/1.63 % External prover 'e' found a proof!
% 3.15/1.63 % [INFO] Killing All external provers ...
% 3.15/1.63 % Time passed: 1121ms (effective reasoning time: 678ms)
% 3.15/1.63 % 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)>
% 3.15/1.63 % Axioms used in derivation (15): greek_cell_element, greek_element_is_unique, latin_column_required, reflexivity, greek_column_required, latin_cell_element, greek_row_is_unique, greek_row_required, symmetry, p_1_is_not_p_2, latin_element_is_unique, latin_row_required, latin_row_is_unique, latin_column_is_unique, greek_column_is_unique
% 3.15/1.63 % No. of inferences in proof: 35
% 3.15/1.63 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 1121 ms resp. 678 ms w/o parsing
% 3.15/1.66 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 3.15/1.66 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------