%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : PUZ004-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox/solver/bin/leo3.jar /export/starexec/sandbox/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox/solver/bin/externals/eprover --instantiate 39
% Computer : n005.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sun Sep 27 08:21:03 AM UTC 2026
% Result : Unsatisfiable 3.33s 1.73s
% Output : Refutation 3.33s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 12
% Syntax : Number of formulae : 25 ( 5 unt; 0 typ; 0 def)
% Number of atoms : 45 ( 0 equ; 0 cnn)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 42 ( 22 ~; 20 |; 0 &; 0 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 3 ( 3 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 11 ( 10 usr; 11 con; 0-0 aty)
% Number of variables : 0 ( 0 ^; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
thf(can_be_read_decl,type,
can_be_read: $o ).
thf(dated_decl,type,
dated: $o ).
thf(on_blue_paper_decl,type,
on_blue_paper: $o ).
thf(in_third_person_decl,type,
in_third_person: $o ).
thf(in_black_ink_decl,type,
in_black_ink: $o ).
thf(filed_decl,type,
filed: $o ).
thf(on_one_sheet_decl,type,
on_one_sheet: $o ).
thf(crossed_decl,type,
crossed: $o ).
thf(by_brown_decl,type,
by_brown: $o ).
thf(begins_with_dear_sir_decl,type,
begins_with_dear_sir: $o ).
thf(7,axiom,
( in_black_ink
| crossed ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_crossed_in_black_ink) ).
thf(24,plain,
( in_black_ink
| crossed ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(2,axiom,
( on_blue_paper
| ~ dated ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dated_on_blue_paper) ).
thf(14,plain,
( on_blue_paper
| ~ dated ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(5,axiom,
( ~ filed
| ~ can_be_read ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_filed_if_read) ).
thf(20,plain,
( ~ filed
| ~ can_be_read ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(9,axiom,
( filed
| ~ on_blue_paper ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',filed_if_on_blue_paper) ).
thf(28,plain,
( filed
| ~ on_blue_paper ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(1,negated_conjecture,
can_be_read,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_it_cannot_be_read) ).
thf(13,plain,
can_be_read,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(6,axiom,
( dated
| ~ on_one_sheet ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dated_if_on_one_sheet) ).
thf(22,plain,
( dated
| ~ on_one_sheet ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(4,axiom,
( ~ in_black_ink
| in_third_person ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',black_ink_in_third_person) ).
thf(18,plain,
( ~ in_black_ink
| in_third_person ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(3,axiom,
( in_black_ink
| ~ in_third_person ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',third_person_in_black_ink) ).
thf(16,plain,
( in_black_ink
| ~ in_third_person ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(8,axiom,
( begins_with_dear_sir
| ~ by_brown ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',brown_starts_with_sir) ).
thf(26,plain,
( begins_with_dear_sir
| ~ by_brown ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(10,axiom,
( ~ crossed
| on_one_sheet ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',on_one_sheet_if_crossed) ).
thf(30,plain,
( ~ crossed
| on_one_sheet ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).
thf(11,axiom,
( ~ in_third_person
| ~ begins_with_dear_sir ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',no_dear_sirs_in_third_person) ).
thf(32,plain,
( ~ in_third_person
| ~ begins_with_dear_sir ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).
thf(12,axiom,
by_brown,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',letter_by_brown) ).
thf(34,plain,
by_brown,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).
thf(35,plain,
$false,
inference(e,[status(thm)],[24,14,20,28,13,22,18,16,26,30,32,34]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : PUZ004-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.08 % Command : java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox/solver/bin/leo3.jar /export/starexec/sandbox/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox/solver/bin/externals/eprover --instantiate 39
% 0.16/0.41 % Computer : n005.cluster.edu
% 0.16/0.41 % Model : x86_64 x86_64
% 0.16/0.41 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.41 % Memory : 8046.5625MB
% 0.16/0.41 % OS : Linux 6.8.0-71-generic
% 0.16/0.41 % CPULimit : 300
% 0.16/0.41 % WCLimit : 300
% 0.16/0.41 % DateTime : Sat Sep 26 05:02:46 UTC 2026
% 0.16/0.42 % CPUTime :
% 0.16/0.42 Running java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox/solver/bin/leo3.jar /export/starexec/sandbox/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox/solver/bin/externals/eprover --instantiate 39
% 0.69/0.76 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 0.95/0.87 % [INFO] Parsing done (104ms).
% 0.95/0.88 % [INFO] Running in sequential loop mode.
% 1.48/1.14 % [INFO] eprover registered as external prover.
% 1.48/1.14 % [INFO] Scanning for conjecture ...
% 1.73/1.18 % [INFO] Found a conjecture (or negated_conjecture) and 11 axioms. Running axiom selection ...
% 1.84/1.20 % [INFO] Axiom selection finished. Selected 11 axioms (removed 0 axioms).
% 1.84/1.20 % [INFO] Problem is propositional (TPTP CNF).
% 1.84/1.21 % [INFO] Type checking passed.
% 1.84/1.21 % [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 ...
% 3.33/1.73 % External prover 'e' found a proof!
% 3.33/1.73 % [INFO] Killing All external provers ...
% 3.33/1.73 % Time passed: 1215ms (effective reasoning time: 843ms)
% 3.33/1.73 % Axioms used in derivation (11): brown_starts_with_sir, on_one_sheet_if_crossed, black_ink_in_third_person, dated_on_blue_paper, not_crossed_in_black_ink, no_dear_sirs_in_third_person, third_person_in_black_ink, dated_if_on_one_sheet, not_filed_if_read, filed_if_on_blue_paper, letter_by_brown
% 3.33/1.73 % No. of inferences in proof: 25
% 3.33/1.73 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p : 1215 ms resp. 843 ms w/o parsing
% 3.33/1.79 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 3.33/1.79 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------