%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : ITP001_1 : 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 : n014.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 07:35:19 AM UTC 2026
% Result : Theorem 5.81s 2.91s
% Output : Refutation 5.81s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 2
% Syntax : Number of formulae : 7 ( 6 unt; 0 typ; 0 def)
% Number of atoms : 8 ( 1 equ; 0 cnn)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 8 ( 2 ~; 0 |; 0 &; 5 @)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 3 ( 2 avg)
% Number of types : 7 ( 6 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 4 ( 2 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_2Ebool_type,type,
mono_2Etyop_2Emin_2Ebool: $tType ).
thf(mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_type,type,
mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29: $tType ).
thf(mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29_type,type,
mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29: $tType ).
thf(p_decl,type,
p: mono_2Etyop_2Emin_2Ebool > $o ).
thf(mono_2Ec_2Ebool_2ET_2E0_decl,type,
mono_2Ec_2Ebool_2ET_2E0: mono_2Etyop_2Emin_2Ebool ).
thf(22,axiom,
( ( mono_2Ec_2Ebool_2ET_2E0 @ p )
<=> ! [A: mono_2Etyop_2Emin_2Ebool] : ( A = A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm_2Ebool_2ET__DEF) ).
thf(110,plain,
mono_2Ec_2Ebool_2ET_2E0 @ p,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[22]) ).
thf(1,conjecture,
mono_2Ec_2Ebool_2ET_2E0 @ p,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm_2Ebool_2ETRUTH) ).
thf(2,negated_conjecture,
~ ( mono_2Ec_2Ebool_2ET_2E0 @ p ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(34,plain,
~ ( mono_2Ec_2Ebool_2ET_2E0 @ p ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(179,plain,
$false,
inference(rewrite,[status(thm)],[110,34]) ).
thf(180,plain,
$false,
inference(simp,[status(thm)],[179]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ITP001_1 : TPTP v9.3.1. Bugfixed v7.5.0.
% 0.00/0.08 % 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
% 0.11/0.39 % Computer : n014.cluster.edu
% 0.11/0.39 % Model : x86_64 x86_64
% 0.11/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.39 % Memory : 8046.5625MB
% 0.11/0.39 % OS : Linux 6.8.0-71-generic
% 0.11/0.39 % CPULimit : 300
% 0.11/0.39 % WCLimit : 300
% 0.11/0.39 % DateTime : Fri Sep 25 16:58:17 UTC 2026
% 0.11/0.40 % CPUTime :
% 0.11/0.40 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
% 0.87/0.99 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.46/1.23 % [INFO] Parsing done (239ms).
% 1.46/1.25 % [INFO] Running in sequential loop mode.
% 2.31/1.65 % [INFO] eprover registered as external prover.
% 2.31/1.66 % [INFO] Scanning for conjecture ...
% 2.55/1.78 % [INFO] Found a conjecture (or negated_conjecture) and 31 axioms. Running axiom selection ...
% 2.73/1.86 % [INFO] Axiom selection finished. Selected 31 axioms (removed 0 axioms).
% 2.97/1.97 % [INFO] Problem is typed first-order (TPTP TFF).
% 2.97/1.98 % [INFO] Type checking passed.
% 2.97/1.99 % [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 ...
% 4.20/2.44 % [INFO] [Domain constraints] Detected constraint on mono_2Etyop_2Emin_2Ebool
% 4.20/2.44 % [INFO] [Domain constraints] dom(mono_2Etyop_2Emin_2Ebool) ⊆ {mono_2Ec_2Ebool_2ET_2E0,mono_2Ec_2Ebool_2EF_2E0}
% 5.81/2.91 % [INFO] Killing All external provers ...
% 5.81/2.91 % Time passed: 2366ms (effective reasoning time: 1657ms)
% 5.81/2.91 % 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)>
% 5.81/2.91 % Axioms used in derivation (1): thm_2Ebool_2ET__DEF
% 5.81/2.91 % No. of inferences in proof: 7
% 5.81/2.91 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 2366 ms resp. 1657 ms w/o parsing
% 5.81/2.93 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 5.81/2.93 % [INFO] Killing All external provers ...
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