%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : LCL853-1 : TPTP v9.3.1. Released v4.1.0.
% 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 07:53:14 AM UTC 2026
% Result : Unsatisfiable 2.33s 1.40s
% Output : Refutation 2.33s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 2
% Syntax : Number of formulae : 7 ( 7 unt; 0 typ; 0 def)
% Number of atoms : 7 ( 0 equ; 0 cnn)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 8 ( 3 ~; 0 |; 0 &; 5 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 3 ( 2 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 3 ( 2 usr; 2 con; 0-1 aty)
% Number of variables : 0 ( 0 ^; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
thf(c_InductTermi_OIT_decl,type,
c_InductTermi_OIT: $i > $o ).
thf(v_s_____decl,type,
v_s____: $i ).
thf(25,axiom,
v_s____ @ c_InductTermi_OIT,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_App_I2_J_0) ).
thf(103,plain,
v_s____ @ c_InductTermi_OIT,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[25]) ).
thf(1,negated_conjecture,
~ ( v_s____ @ c_InductTermi_OIT ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
thf(31,plain,
~ ( v_s____ @ c_InductTermi_OIT ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(32,plain,
~ ( v_s____ @ c_InductTermi_OIT ),
inference(polarity_switch,[status(thm)],[31]) ).
thf(112,plain,
$false,
inference(rewrite,[status(thm)],[103,32]) ).
thf(113,plain,
$false,
inference(simp,[status(thm)],[112]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : LCL853-1 : TPTP v9.3.1. Released v4.1.0.
% 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 23:43:20 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
% 0.51/0.62 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 0.65/0.73 % [INFO] Parsing done (103ms).
% 0.65/0.73 % [INFO] Running in sequential loop mode.
% 1.05/0.94 % [INFO] eprover registered as external prover.
% 1.05/0.95 % [INFO] Scanning for conjecture ...
% 1.05/0.99 % [INFO] Found a conjecture (or negated_conjecture) and 46 axioms. Running axiom selection ...
% 1.30/1.03 % [INFO] Axiom selection finished. Selected 29 axioms (removed 17 axioms).
% 1.30/1.05 % [INFO] Problem is propositional (TPTP CNF).
% 1.30/1.05 % [INFO] Type checking passed.
% 1.30/1.05 % [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 ...
% 2.00/1.39 % [INFO] Killing All external provers ...
% 2.33/1.40 % Time passed: 991ms (effective reasoning time: 658ms)
% 2.33/1.40 % Axioms used in derivation (1): cls_App_I2_J_0
% 2.33/1.40 % No. of inferences in proof: 7
% 2.33/1.40 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p : 991 ms resp. 658 ms w/o parsing
% 2.33/1.41 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 2.33/1.41 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------