%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : ITP001_3 : TPTP v9.3.1. Bugfixed v7.5.0.
% 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 : n007.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 07:35:20 AM UTC 2026
% Result : Theorem 7.14s 3.29s
% Output : Refutation 7.60s
% 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 : 7 ( 2 ~; 0 |; 0 &; 5 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 3 ( 2 avg)
% Number of types : 2 ( 1 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(tyop_2Emin_2Ebool_type,type,
tyop_2Emin_2Ebool: $tType ).
thf(p_decl,type,
p: tyop_2Emin_2Ebool > $o ).
thf(c_2Ebool_2ET_2E0_decl,type,
c_2Ebool_2ET_2E0: tyop_2Emin_2Ebool ).
thf(21,axiom,
c_2Ebool_2ET_2E0 @ p,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm_2Eextra_2Dho_2Etruth) ).
thf(124,plain,
c_2Ebool_2ET_2E0 @ p,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[21]) ).
thf(1,conjecture,
c_2Ebool_2ET_2E0 @ p,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm_2Ebool_2ETRUTH) ).
thf(2,negated_conjecture,
~ ( c_2Ebool_2ET_2E0 @ p ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(26,plain,
~ ( c_2Ebool_2ET_2E0 @ p ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(141,plain,
$false,
inference(rewrite,[status(thm)],[124,26]) ).
thf(142,plain,
$false,
inference(simp,[status(thm)],[141]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ITP001_3 : TPTP v9.3.1. Bugfixed v7.5.0.
% 0.00/0.07 % 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
% 0.14/0.40 % Computer : n007.cluster.edu
% 0.14/0.40 % Model : x86_64 x86_64
% 0.14/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.40 % Memory : 8046.5625MB
% 0.14/0.40 % OS : Linux 6.8.0-71-generic
% 0.14/0.40 % CPULimit : 300
% 0.14/0.40 % WCLimit : 300
% 0.14/0.40 % DateTime : Fri Sep 25 16:56:38 UTC 2026
% 0.14/0.41 % CPUTime :
% 0.14/0.41 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
% 0.87/0.99 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.43/1.22 % [INFO] Parsing done (226ms).
% 1.43/1.23 % [INFO] Running in sequential loop mode.
% 2.25/1.63 % [INFO] eprover registered as external prover.
% 2.25/1.64 % [INFO] Scanning for conjecture ...
% 2.44/1.75 % [INFO] Found a conjecture (or negated_conjecture) and 23 axioms. Running axiom selection ...
% 2.60/1.81 % [INFO] Axiom selection finished. Selected 23 axioms (removed 0 axioms).
% 2.60/1.89 % [INFO] Problem is typed first-order (TPTP TFF).
% 2.87/1.90 % [INFO] Type checking passed.
% 2.87/1.90 % [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 ...
% 3.55/2.24 % [INFO] [Domain constraints] Detected constraint on tyop_2Emin_2Ebool
% 3.55/2.24 % [INFO] [Domain constraints] dom(tyop_2Emin_2Ebool) ⊆ {c_2Ebool_2ET_2E0,c_2Ebool_2EF_2E0}
% 7.14/3.28 % [INFO] Killing All external provers ...
% 7.14/3.29 % Time passed: 2735ms (effective reasoning time: 2047ms)
% 7.14/3.29 % 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)>
% 7.14/3.29 % Axioms used in derivation (1): thm_2Eextra_2Dho_2Etruth
% 7.14/3.29 % No. of inferences in proof: 7
% 7.14/3.29 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 2735 ms resp. 2047 ms w/o parsing
% 7.60/3.30 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 7.60/3.30 % [INFO] Killing All external provers ...
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