%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : LCL414-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox2/solver/bin/leo3.jar /export/starexec/sandbox2/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox2/solver/bin/externals/eprover --instantiate 39
% Computer : n012.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 07:51:44 AM UTC 2026
% Result : Unsatisfiable 1.74s 1.26s
% Output : Refutation 1.74s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 5
% Syntax : Number of formulae : 11 ( 9 unt; 0 typ; 0 def)
% Number of atoms : 15 ( 0 equ; 0 cnn)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 80 ( 6 ~; 4 |; 0 &; 70 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 7 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 5 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 18 ( 0 ^; 18 !; 0 ?; 18 :)
% Comments :
%------------------------------------------------------------------------------
thf(a_truth_decl,type,
a_truth: $i > $o ).
thf(implies_decl,type,
implies: $i > $i > $i ).
thf(not_decl,type,
not: $i > $i ).
thf(sk1_decl,type,
sk1: $i ).
thf(4,negated_conjecture,
! [B: $i,A: $i] : ( A @ ( B @ implies ) @ ( B @ not @ ( A @ not @ implies ) @ implies ) @ a_truth ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm147_4) ).
thf(10,plain,
! [B: $i,A: $i] : ( A @ ( B @ implies ) @ ( B @ not @ ( A @ not @ implies ) @ implies ) @ a_truth ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(5,negated_conjecture,
~ ( sk1 @ ( sk1 @ implies ) @ a_truth ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm147_5) ).
thf(6,plain,
~ ( sk1 @ ( sk1 @ implies ) @ a_truth ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(3,negated_conjecture,
! [C: $i,B: $i,A: $i] : ( C @ ( A @ implies ) @ ( B @ ( A @ implies ) @ implies ) @ ( C @ ( B @ implies ) @ ( A @ implies ) @ implies ) @ a_truth ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm147_3) ).
thf(9,plain,
! [C: $i,B: $i,A: $i] : ( C @ ( A @ implies ) @ ( B @ ( A @ implies ) @ implies ) @ ( C @ ( B @ implies ) @ ( A @ implies ) @ implies ) @ a_truth ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(1,negated_conjecture,
! [B: $i,A: $i] :
( ~ ( A @ ( B @ implies ) @ a_truth )
| ~ ( B @ a_truth )
| ( A @ a_truth ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm147_1) ).
thf(7,plain,
! [B: $i,A: $i] :
( ~ ( A @ ( B @ implies ) @ a_truth )
| ~ ( B @ a_truth )
| ( A @ a_truth ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(2,negated_conjecture,
! [B: $i,A: $i] : ( A @ ( B @ implies ) @ ( A @ implies ) @ a_truth ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm147_2) ).
thf(8,plain,
! [B: $i,A: $i] : ( A @ ( B @ implies ) @ ( A @ implies ) @ a_truth ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(16,plain,
$false,
inference(e,[status(thm)],[10,6,9,7,8]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : LCL414-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox2/solver/bin/leo3.jar /export/starexec/sandbox2/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox2/solver/bin/externals/eprover --instantiate 39
% 0.07/0.32 % Computer : n012.cluster.edu
% 0.07/0.32 % Model : x86_64 x86_64
% 0.07/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.32 % Memory : 8046.5625MB
% 0.07/0.32 % OS : Linux 6.8.0-71-generic
% 0.07/0.32 % CPULimit : 300
% 0.07/0.32 % WCLimit : 300
% 0.07/0.32 % DateTime : Fri Sep 25 22:28:22 UTC 2026
% 0.07/0.32 % CPUTime :
% 0.07/0.32 Running java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox2/solver/bin/leo3.jar /export/starexec/sandbox2/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox2/solver/bin/externals/eprover --instantiate 39
% 0.52/0.62 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 0.66/0.70 % [INFO] Parsing done (84ms).
% 0.66/0.71 % [INFO] Running in sequential loop mode.
% 1.02/0.90 % [INFO] eprover registered as external prover.
% 1.02/0.91 % [INFO] Scanning for conjecture ...
% 1.02/0.95 % [INFO] Found a conjecture (or negated_conjecture) and 0 axioms. Running axiom selection ...
% 1.02/0.98 % [INFO] Axiom selection finished. Selected 0 axioms (removed 0 axioms).
% 1.02/0.98 % [INFO] Problem is propositional (TPTP CNF).
% 1.02/0.98 % [INFO] Type checking passed.
% 1.02/0.98 % [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 ...
% 1.74/1.26 % External prover 'e' found a proof!
% 1.74/1.26 % [INFO] Killing All external provers ...
% 1.74/1.26 % Time passed: 860ms (effective reasoning time: 548ms)
% 1.74/1.26 % Axioms used in derivation (0):
% 1.74/1.26 % No. of inferences in proof: 11
% 1.74/1.26 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p : 860 ms resp. 548 ms w/o parsing
% 1.74/1.28 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 1.74/1.28 % [INFO] Killing All external provers ...
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