%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : ITP001^4 : TPTP v9.3.1. Bugfixed v7.5.0.
% 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 : 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 : Wed Sep 30 08:06:15 AM UTC 2026
% Result : Theorem 9.82s 3.70s
% Output : Refutation 9.82s
% 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 : 9 ( 2 equ; 0 cnn)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &; 0 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 2 ( 1 avg)
% Number of types : 5 ( 4 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 3 ( 1 usr; 2 con; 0-2 aty)
% Number of variables : 1 ( 0 ^; 1 !; 0 ?; 1 :)
% Comments :
%------------------------------------------------------------------------------
thf(u_type,type,
u: $tType ).
thf(d_type,type,
d: $tType ).
thf(du_type,type,
du: $tType ).
thf(mono_2Etyop_2Emin_2Eind_type,type,
mono_2Etyop_2Emin_2Eind: $tType ).
thf(mono_2Ec_2Ebool_2ET_decl,type,
mono_2Ec_2Ebool_2ET: $o ).
thf(64,axiom,
( mono_2Ec_2Ebool_2ET
= ( ! [A: $o] : ( A = A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm_2Ebool_2ET__DEF) ).
thf(392,plain,
mono_2Ec_2Ebool_2ET,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[64]) ).
thf(1,conjecture,
mono_2Ec_2Ebool_2ET,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm_2Ebool_2ETRUTH) ).
thf(2,negated_conjecture,
~ mono_2Ec_2Ebool_2ET,
inference(neg_conjecture,[status(cth)],[1]) ).
thf(67,plain,
~ mono_2Ec_2Ebool_2ET,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(401,plain,
$false,
inference(rewrite,[status(thm)],[392,67]) ).
thf(402,plain,
$false,
inference(simp,[status(thm)],[401]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ITP001^4 : TPTP v9.3.1. Bugfixed v7.5.0.
% 0.00/0.09 % 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
% 0.10/0.23 % Computer : n005.cluster.edu
% 0.10/0.23 % Model : x86_64 x86_64
% 0.10/0.23 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.23 % Memory : 8046.5625MB
% 0.10/0.23 % OS : Linux 6.8.0-71-generic
% 0.10/0.24 % CPULimit : 300
% 0.10/0.24 % WCLimit : 300
% 0.10/0.24 % DateTime : Tue Sep 29 19:17:16 UTC 2026
% 0.10/0.24 % CPUTime :
% 0.10/0.24 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
% 1.08/0.83 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 2.33/1.21 % [INFO] Parsing done (379ms).
% 2.33/1.22 % [INFO] Running in sequential loop mode.
% 3.25/1.60 % [INFO] eprover registered as external prover.
% 3.25/1.61 % [INFO] Scanning for conjecture ...
% 3.44/1.75 % [INFO] Found a conjecture (or negated_conjecture) and 97 axioms. Running axiom selection ...
% 3.62/1.86 % [INFO] Axiom selection finished. Selected 64 axioms (removed 33 axioms).
% 4.19/2.05 % [INFO] Problem is higher-order (TPTP THF).
% 4.19/2.07 % [INFO] Type checking passed.
% 4.19/2.08 % [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 ...
% 9.39/3.69 % [INFO] Killing All external provers ...
% 9.82/3.70 % Time passed: 3314ms (effective reasoning time: 2463ms)
% 9.82/3.70 % 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)>
% 9.82/3.70 % Axioms used in derivation (1): thm_2Ebool_2ET__DEF
% 9.82/3.70 % No. of inferences in proof: 7
% 9.82/3.70 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 3314 ms resp. 2463 ms w/o parsing
% 9.82/3.72 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 9.82/3.72 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------