%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : ITP029^1 : 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 : n015.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 18.12s 6.14s
% Output : Refutation 18.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 3
% Syntax : Number of formulae : 14 ( 9 unt; 0 typ; 0 def)
% Number of atoms : 23 ( 9 equ; 0 cnn)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 55 ( 10 ~; 3 |; 0 &; 40 @)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Number of types : 8 ( 7 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 7 ( 4 usr; 4 con; 0-2 aty)
% Number of variables : 11 ( 0 ^; 11 !; 0 ?; 11 :)
% Comments :
%------------------------------------------------------------------------------
thf(binary594033953_set_a_type,type,
binary594033953_set_a: $tType ).
thf(binary1439146945Tree_a_type,type,
binary1439146945Tree_a: $tType ).
thf(set_set_set_a_type,type,
set_set_set_a: $tType ).
thf(set_set_a_type,type,
set_set_a: $tType ).
thf(set_a_type,type,
set_a: $tType ).
thf(int_type,type,
int: $tType ).
thf(a_type,type,
a: $tType ).
thf(ord_less_int_decl,type,
ord_less_int: int > int > $o ).
thf(a2_decl,type,
a2: a ).
thf(b_decl,type,
b: a ).
thf(h_decl,type,
h: a > int ).
thf(92,axiom,
ord_less_int @ ( h @ b ) @ ( h @ a2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1__092_060open_062h_Ab_A_060_Ah_Aa_092_060close_062) ).
thf(423,plain,
ord_less_int @ ( h @ b ) @ ( h @ a2 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[92]) ).
thf(83,axiom,
( ( h @ a2 )
= ( h @ b ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_0_hahb) ).
thf(409,plain,
( ( h @ a2 )
= ( h @ b ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[83]) ).
thf(410,plain,
( ( h @ b )
= ( h @ a2 ) ),
inference(lifteq,[status(thm)],[409]) ).
thf(558,plain,
ord_less_int @ ( h @ a2 ) @ ( h @ a2 ),
inference(rewrite,[status(thm)],[423,410]) ).
thf(18,axiom,
! [A: int,B: int] :
( ( ord_less_int @ A @ B )
=> ( B != A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_44_dual__order_Ostrict__implies__not__eq) ).
thf(140,plain,
! [A: int,B: int] :
( ( ord_less_int @ A @ B )
=> ( B != A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[18]) ).
thf(141,plain,
! [B: int,A: int] :
( ~ ( ord_less_int @ A @ B )
| ( B != A ) ),
inference(cnf,[status(esa)],[140]) ).
thf(142,plain,
! [B: int,A: int] :
( ( B != A )
| ~ ( ord_less_int @ A @ B ) ),
inference(lifteq,[status(thm)],[141]) ).
thf(143,plain,
! [A: int] :
~ ( ord_less_int @ A @ A ),
inference(simp,[status(thm)],[142]) ).
thf(559,plain,
! [A: int] :
( ~ $true
| ( ( ord_less_int @ ( h @ a2 ) @ ( h @ a2 ) )
!= ( ord_less_int @ A @ A ) ) ),
inference(paramod_ordered,[status(thm)],[558,143]) ).
thf(560,plain,
! [A: int] :
( ( ord_less_int @ ( h @ a2 ) @ ( h @ a2 ) )
!= ( ord_less_int @ A @ A ) ),
inference(simp,[status(thm)],[559]) ).
thf(561,plain,
$false,
inference(pattern_uni,[status(thm)],[560:[bind(A,$thf( h @ a2 ))]]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : ITP029^1 : 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
% 0.11/0.21 % Computer : n015.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
% 0.11/0.21 % CPULimit : 300
% 0.11/0.21 % WCLimit : 300
% 0.11/0.21 % DateTime : Tue Sep 29 19:41:48 UTC 2026
% 0.11/0.21 % CPUTime :
% 0.11/0.21 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
% 0.88/0.79 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 2.80/1.30 % [INFO] Parsing done (507ms).
% 2.80/1.32 % [INFO] Running in sequential loop mode.
% 4.47/1.82 % [INFO] eprover registered as external prover.
% 4.47/1.83 % [INFO] Scanning for conjecture ...
% 4.64/2.02 % [INFO] Found a conjecture (or negated_conjecture) and 350 axioms. Running axiom selection ...
% 4.89/2.13 % [INFO] Axiom selection finished. Selected 91 axioms (removed 259 axioms).
% 5.26/2.27 % [INFO] Problem is higher-order (TPTP THF).
% 5.26/2.29 % [INFO] Type checking passed.
% 5.26/2.29 % [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 ...
% 18.12/6.14 % [INFO] Killing All external provers ...
% 18.12/6.14 % Time passed: 5783ms (effective reasoning time: 4808ms)
% 18.12/6.14 % Axioms used in derivation (3): fact_1__092_060open_062h_Ab_A_060_Ah_Aa_092_060close_062, fact_0_hahb, fact_44_dual__order_Ostrict__implies__not__eq
% 18.12/6.14 % No. of inferences in proof: 14
% 18.12/6.14 % SZS status ContradictoryAxioms for /export/starexec/sandbox2/benchmark/theBenchmark.p : 5783 ms resp. 4808 ms w/o parsing
% 18.12/6.17 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 18.12/6.17 % [INFO] Killing All external provers ...
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