%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : ITP114^1 : TPTP v9.3.1. Released 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 : n008.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 08:06:48 AM UTC 2026
% Result : Theorem 72.96s 25.38s
% Output : Refutation 73.25s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 2
% Syntax : Number of formulae : 8 ( 8 unt; 0 typ; 0 def)
% Number of atoms : 8 ( 0 equ; 0 cnn)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 27 ( 3 ~; 0 |; 0 &; 24 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 4 avg)
% Number of types : 8 ( 7 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 6 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 3 ( 0 ^; 3 !; 0 ?; 3 :)
% Comments :
%------------------------------------------------------------------------------
thf(set_Extended_ereal_type,type,
set_Extended_ereal: $tType ).
thf(extended_ereal_type,type,
extended_ereal: $tType ).
thf(extended_enat_type,type,
extended_enat: $tType ).
thf(real_type,type,
real: $tType ).
thf(num_type,type,
num: $tType ).
thf(nat_type,type,
nat: $tType ).
thf(a_type,type,
a: $tType ).
thf(ord_le824540014_ereal_decl,type,
ord_le824540014_ereal: extended_ereal > extended_ereal > $o ).
thf(f_decl,type,
f: a > extended_ereal ).
thf(g_decl,type,
g: a > extended_ereal ).
thf(x_decl,type,
x: a ).
thf(1,conjecture,
ord_le824540014_ereal @ ( g @ x ) @ ( f @ x ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).
thf(2,negated_conjecture,
~ ( ord_le824540014_ereal @ ( g @ x ) @ ( f @ x ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(333,plain,
~ ( ord_le824540014_ereal @ ( g @ x ) @ ( f @ x ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(237,axiom,
! [A: a] : ( ord_le824540014_ereal @ ( g @ A ) @ ( f @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_0_assms) ).
thf(1471,plain,
! [A: a] : ( ord_le824540014_ereal @ ( g @ A ) @ ( f @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[237]) ).
thf(1472,plain,
! [A: a] : ( ord_le824540014_ereal @ ( g @ A ) @ ( f @ A ) ),
inference(cnf,[status(esa)],[1471]) ).
thf(5774,plain,
~ $true,
inference(rewrite,[status(thm)],[333,1472]) ).
thf(5775,plain,
$false,
inference(simp,[status(thm)],[5774]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ITP114^1 : TPTP v9.3.1. Released 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
% 0.11/0.21 % Computer : n008.cluster.edu
% 0.11/0.21 % Model : x86_64 x86_64
% 0.11/0.21 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.21 % Memory : 8046.5625MB
% 0.11/0.21 % OS : Linux 6.8.0-71-generic
% 0.11/0.22 % CPULimit : 300
% 0.11/0.22 % WCLimit : 300
% 0.11/0.22 % DateTime : Tue Sep 29 19:56:24 UTC 2026
% 0.11/0.22 % CPUTime :
% 0.11/0.22 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
% 0.85/0.79 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 2.01/1.16 % [INFO] Parsing done (372ms).
% 2.01/1.18 % [INFO] Running in sequential loop mode.
% 3.16/1.57 % [INFO] eprover registered as external prover.
% 3.16/1.57 % [INFO] Scanning for conjecture ...
% 3.58/1.71 % [INFO] Found a conjecture (or negated_conjecture) and 351 axioms. Running axiom selection ...
% 3.81/1.85 % [INFO] Axiom selection finished. Selected 330 axioms (removed 21 axioms).
% 4.58/2.12 % [INFO] Problem is higher-order (TPTP THF).
% 4.93/2.15 % [INFO] Type checking passed.
% 4.93/2.15 % [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 ...
% 72.96/25.38 % [INFO] Killing All external provers ...
% 72.96/25.38 % Time passed: 25021ms (effective reasoning time: 24194ms)
% 72.96/25.38 % 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)>
% 72.96/25.38 % Axioms used in derivation (1): fact_0_assms
% 72.96/25.38 % No. of inferences in proof: 8
% 72.96/25.38 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 25021 ms resp. 24194 ms w/o parsing
% 73.25/25.41 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 73.25/25.41 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------