%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : ITP227_4 : TPTP v9.3.1. Bugfixed v9.3.0.
% 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 : n006.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 07:36:59 AM UTC 2026
% Result : Theorem 16.56s 5.61s
% Output : Refutation 16.56s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 2
% Syntax : Number of formulae : 14 ( 5 unt; 0 typ; 0 def)
% Number of atoms : 23 ( 22 equ; 0 cnn)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 26 ( 17 ~; 5 |; 4 &; 0 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Number of types : 12 ( 12 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 5 ( 3 usr; 4 con; 0-2 aty)
% Number of variables : 0 ( 0 ^; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
thf(vEBT_VEBT_type,type,
vEBT_VEBT: $tType ).
thf(code_integer_type,type,
code_integer: $tType ).
thf(product_unit_type,type,
product_unit: $tType ).
thf(extended_enat_type,type,
extended_enat: $tType ).
thf(complex_type,type,
complex: $tType ).
thf(char_type,type,
char: $tType ).
thf(real_type,type,
real: $tType ).
thf(rat_type,type,
rat: $tType ).
thf(num_type,type,
num: $tType ).
thf(nat_type,type,
nat: $tType ).
thf(int_type,type,
int: $tType ).
thf(a_type,type,
a: $tType ).
thf(ma_decl,type,
ma: nat ).
thf(mi_decl,type,
mi: nat ).
thf(xa_decl,type,
xa: nat ).
thf(1,conjecture,
( ( xa != ma )
& ( xa != mi ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).
thf(2,negated_conjecture,
~ ( ( xa != ma )
& ( xa != mi ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(4,plain,
~ ( ( xa != ma )
& ( xa != mi ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(5,plain,
( ( xa = ma )
| ( xa = mi ) ),
inference(cnf,[status(esa)],[4]) ).
thf(6,plain,
( ( xa = ma )
| ( xa = mi ) ),
inference(lifteq,[status(thm)],[5]) ).
thf(3,axiom,
~ ( ( xa = ma )
| ( xa = mi ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_0_False) ).
thf(7,plain,
~ ( ( xa = ma )
| ( xa = mi ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(8,plain,
~ ( ( xa = ma )
| ( xa = mi ) ),
inference(polarity_switch,[status(thm)],[7]) ).
thf(9,plain,
( ( xa != ma )
& ( xa != mi ) ),
inference(cnf,[status(esa)],[8]) ).
thf(10,plain,
xa != mi,
inference(cnfConj,[status(thm)],[9]) ).
thf(12,plain,
xa != mi,
inference(lifteq,[status(thm)],[10]) ).
thf(11,plain,
xa != ma,
inference(cnfConj,[status(thm)],[9]) ).
thf(13,plain,
xa != ma,
inference(lifteq,[status(thm)],[11]) ).
thf(14,plain,
$false,
inference(simplifyReflect,[status(thm)],[6,12,13]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ITP227_4 : TPTP v9.3.1. Bugfixed v9.3.0.
% 0.00/0.09 % 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
% 0.15/0.43 % Computer : n006.cluster.edu
% 0.15/0.43 % Model : x86_64 x86_64
% 0.15/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.43 % Memory : 8046.5625MB
% 0.15/0.43 % OS : Linux 6.8.0-71-generic
% 0.15/0.43 % CPULimit : 300
% 0.15/0.43 % WCLimit : 300
% 0.15/0.43 % DateTime : Fri Sep 25 18:18:44 UTC 2026
% 0.15/0.43 % CPUTime :
% 0.15/0.43 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
% 0.84/1.01 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 8.86/3.12 % [INFO] Parsing done (2105ms).
% 9.16/3.14 % [INFO] Running in sequential loop mode.
% 9.76/3.52 % [INFO] eprover registered as external prover.
% 9.76/3.53 % [INFO] Scanning for conjecture ...
% 14.86/5.00 % [INFO] Found a conjecture (or negated_conjecture) and 9779 axioms. Running axiom selection ...
% 15.39/5.16 % [INFO] Axiom selection finished. Selected 1 axioms (removed 9778 axioms).
% 15.39/5.16 % [INFO] Problem is typed first-order (TPTP TFF).
% 15.39/5.17 % [INFO] Type checking passed.
% 15.39/5.17 % [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 ...
% 16.56/5.60 % [INFO] Killing All external provers ...
% 16.56/5.60 % Time passed: 5026ms (effective reasoning time: 2453ms)
% 16.56/5.60 % 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)>
% 16.56/5.61 % Axioms used in derivation (1): fact_0_False
% 16.56/5.61 % No. of inferences in proof: 14
% 16.56/5.61 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 5026 ms resp. 2453 ms w/o parsing
% 16.56/5.64 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 16.56/5.64 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------