%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : ITP030^1 : 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 : n002.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 08:06:29 AM UTC 2026
% Result : ContradictoryAxioms 14.22s 4.31s
% Output : Refutation 14.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 1
% Syntax : Number of formulae : 3 ( 3 unt; 0 typ; 0 def)
% Number of atoms : 3 ( 1 equ; 0 cnn)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 1 ~; 0 |; 0 &; 2 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 2 ( 1 avg)
% Number of types : 9 ( 9 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 4 ( 2 usr; 2 con; 0-2 aty)
% Number of variables : 0 ( 0 ^; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
thf(binary1176601351tion_a_type,type,
binary1176601351tion_a: $tType ).
thf(set_option_option_a_type,type,
set_option_option_a: $tType ).
thf(binary1439146945Tree_a_type,type,
binary1439146945Tree_a: $tType ).
thf(option_option_a_type,type,
option_option_a: $tType ).
thf(set_option_a_type,type,
set_option_a: $tType ).
thf(option_a_type,type,
option_a: $tType ).
thf(set_a_type,type,
set_a: $tType ).
thf(int_type,type,
int: $tType ).
thf(a_type,type,
a: $tType ).
thf(h_decl,type,
h: a > int ).
thf(x_decl,type,
x: a ).
thf(7,axiom,
( ( h @ x )
!= ( h @ x ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_4__092_060open_062h_Ax_A_092_060noteq_062_Ah_Ax_092_060close_062) ).
thf(364,plain,
$false,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(365,plain,
$false,
inference(simp,[status(thm)],[364]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : ITP030^1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.07 % 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
% 0.08/0.21 % Computer : n002.cluster.edu
% 0.08/0.21 % Model : x86_64 x86_64
% 0.08/0.21 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.21 % Memory : 8046.5625MB
% 0.08/0.21 % OS : Linux 6.8.0-71-generic
% 0.08/0.21 % CPULimit : 300
% 0.08/0.21 % WCLimit : 300
% 0.08/0.21 % DateTime : Tue Sep 29 19:41:22 UTC 2026
% 0.08/0.22 % CPUTime :
% 0.08/0.22 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
% 0.89/0.79 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 2.46/1.28 % [INFO] Parsing done (487ms).
% 2.46/1.29 % [INFO] Running in sequential loop mode.
% 3.82/1.68 % [INFO] eprover registered as external prover.
% 3.82/1.69 % [INFO] Scanning for conjecture ...
% 4.25/1.83 % [INFO] Found a conjecture (or negated_conjecture) and 354 axioms. Running axiom selection ...
% 4.25/1.88 % [INFO] Axiom selection finished. Selected 354 axioms (removed 0 axioms).
% 5.21/2.17 % [INFO] Problem is higher-order (TPTP THF).
% 5.51/2.21 % [INFO] Type checking passed.
% 5.51/2.21 % [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 ...
% 14.22/4.30 % [INFO] Killing All external provers ...
% 14.22/4.31 % Time passed: 3950ms (effective reasoning time: 3003ms)
% 14.22/4.31 % Axioms used in derivation (1): fact_4__092_060open_062h_Ax_A_092_060noteq_062_Ah_Ax_092_060close_062
% 14.22/4.31 % No. of inferences in proof: 3
% 14.22/4.31 % SZS status ContradictoryAxioms for /export/starexec/sandbox2/benchmark/theBenchmark.p : 3950 ms resp. 3003 ms w/o parsing
% 14.22/4.34 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 14.22/4.34 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------