%------------------------------------------------------------------------------
% 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/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 : n016.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 07:35:21 AM UTC 2026
% Result : Theorem 18.07s 6.54s
% Output : Refutation 18.07s
% 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 : 9 ( 8 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(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(mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Eind_2Ctyop_2Emin_2Eind_29_2Ctyop_2Emin_2Ebool_29_type,type,
mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Emin_2Eind_2Ctyop_2Emin_2Eind_29_2Ctyop_2Emin_2Ebool_29: $tType ).
thf(mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Eind_2Ctyop_2Emin_2Eind_29_type,type,
mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Eind_2Ctyop_2Emin_2Eind_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(54,axiom,
mono_2Ec_2Ebool_2ET_2E0 @ p,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',reserved_2Eho_2Etruth) ).
thf(271,plain,
mono_2Ec_2Ebool_2ET_2E0 @ p,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[54]) ).
thf(1,conjecture,
mono_2Ec_2Ebool_2ET_2E0 @ p,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm_2Ebool_2ETRUTH) ).
thf(2,negated_conjecture,
~ ( mono_2Ec_2Ebool_2ET_2E0 @ p ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(84,plain,
~ ( mono_2Ec_2Ebool_2ET_2E0 @ p ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(509,plain,
$false,
inference(rewrite,[status(thm)],[271,84]) ).
thf(510,plain,
$false,
inference(simp,[status(thm)],[509]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : ITP001_4 : TPTP v9.3.1. Bugfixed v7.5.0.
% 0.00/0.13 % 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
% 0.23/0.51 % Computer : n016.cluster.edu
% 0.23/0.51 % Model : x86_64 x86_64
% 0.23/0.51 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.23/0.51 % Memory : 8046.5625MB
% 0.23/0.51 % OS : Linux 6.8.0-71-generic
% 0.23/0.51 % CPULimit : 300
% 0.23/0.51 % WCLimit : 300
% 0.23/0.51 % DateTime : Fri Sep 25 17:03:30 UTC 2026
% 0.23/0.52 % CPUTime :
% 0.23/0.52 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
% 1.56/1.42 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 3.07/1.97 % [INFO] Parsing done (550ms).
% 3.07/1.99 % [INFO] Running in sequential loop mode.
% 4.78/2.61 % [INFO] eprover registered as external prover.
% 4.78/2.62 % [INFO] Scanning for conjecture ...
% 5.19/2.89 % [INFO] Found a conjecture (or negated_conjecture) and 111 axioms. Running axiom selection ...
% 5.89/3.07 % [INFO] Axiom selection finished. Selected 81 axioms (removed 30 axioms).
% 7.40/3.42 % [INFO] Problem is typed first-order (TPTP TFF).
% 7.40/3.46 % [INFO] Type checking passed.
% 7.40/3.47 % [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 ...
% 12.42/4.97 % [INFO] [Domain constraints] Detected constraint on mono_2Etyop_2Emin_2Ebool
% 12.42/4.97 % [INFO] [Domain constraints] dom(mono_2Etyop_2Emin_2Ebool) ⊆ {mono_2Ec_2Ebool_2ET_2E0,mono_2Ec_2Ebool_2EF_2E0}
% 15.13/5.83 % [INFO] [Domain constraints] Detected constraint on mono_2Etyop_2Emin_2Ebool
% 15.13/5.83 % [INFO] [Domain constraints] dom(mono_2Etyop_2Emin_2Ebool) ⊆ {mono_2Ec_2Ebool_2ET_2E0,mono_2Ec_2Ebool_2EF_2E0}
% 18.07/6.53 % [INFO] Killing All external provers ...
% 18.07/6.53 % Time passed: 5796ms (effective reasoning time: 4524ms)
% 18.07/6.53 % 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)>
% 18.07/6.54 % Axioms used in derivation (1): reserved_2Eho_2Etruth
% 18.07/6.54 % No. of inferences in proof: 7
% 18.07/6.54 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 5796 ms resp. 4524 ms w/o parsing
% 18.07/6.58 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 18.07/6.58 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------