%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : LCL779-1 : TPTP v9.3.1. Released v4.1.0.
% 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 : n003.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 07:52:52 AM UTC 2026
% Result : Unsatisfiable 13.62s 6.85s
% Output : Refutation 13.62s
% 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 : 18 ( 3 ~; 0 |; 0 &; 15 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 4 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 5 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 0 ( 0 ^; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
thf(hBOOL_decl,type,
hBOOL: $i > $o ).
thf(hAPP_decl,type,
hAPP: $i > $i > $i ).
thf(c_InductTermi_OIT_decl,type,
c_InductTermi_OIT: $i ).
thf(v_s_decl,type,
v_s: $i ).
thf(3,negated_conjecture,
v_s @ ( c_InductTermi_OIT @ hAPP ) @ hBOOL,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).
thf(553,plain,
v_s @ ( c_InductTermi_OIT @ hAPP ) @ hBOOL,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(5,negated_conjecture,
~ ( v_s @ ( c_InductTermi_OIT @ hAPP ) @ hBOOL ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_4) ).
thf(550,plain,
~ ( v_s @ ( c_InductTermi_OIT @ hAPP ) @ hBOOL ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(555,plain,
~ ( v_s @ ( c_InductTermi_OIT @ hAPP ) @ hBOOL ),
inference(polarity_switch,[status(thm)],[550]) ).
thf(1849,plain,
$false,
inference(rewrite,[status(thm)],[553,555]) ).
thf(1850,plain,
$false,
inference(simp,[status(thm)],[1849]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL779-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.06 % 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
% 0.12/0.43 % Computer : n003.cluster.edu
% 0.12/0.43 % Model : x86_64 x86_64
% 0.12/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.43 % Memory : 8046.5625MB
% 0.12/0.43 % OS : Linux 6.8.0-71-generic
% 0.12/0.43 % CPULimit : 300
% 0.12/0.43 % WCLimit : 300
% 0.12/0.43 % DateTime : Fri Sep 25 23:34:53 UTC 2026
% 0.12/0.43 % CPUTime :
% 0.12/0.43 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
% 0.89/1.28 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 2.08/1.81 % [INFO] Parsing done (523ms).
% 2.08/1.84 % [INFO] Running in sequential loop mode.
% 2.78/2.28 % [INFO] eprover registered as external prover.
% 2.78/2.29 % [INFO] Scanning for conjecture ...
% 3.41/2.57 % [INFO] Found a conjecture (or negated_conjecture) and 544 axioms. Running axiom selection ...
% 4.17/2.90 % [INFO] Axiom selection finished. Selected 544 axioms (removed 0 axioms).
% 5.29/3.37 % [INFO] Problem is propositional (TPTP CNF).
% 5.52/3.41 % [INFO] Type checking passed.
% 5.52/3.43 % [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 ...
% 13.62/6.83 % [INFO] Killing All external provers ...
% 13.62/6.84 % Time passed: 6157ms (effective reasoning time: 4994ms)
% 13.62/6.84 % Axioms used in derivation (0):
% 13.62/6.84 % No. of inferences in proof: 7
% 13.62/6.85 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p : 6157 ms resp. 4994 ms w/o parsing
% 13.62/6.89 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 13.62/6.89 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------