%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : SWW552_5 : TPTP v9.3.1. Released v6.0.0.
% 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 : Sun Sep 27 09:10:48 AM UTC 2026
% Result : Theorem 22.71s 9.07s
% Output : Refutation 22.71s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 2
% Syntax : Number of formulae : 7 ( 2 unt; 0 typ; 0 def)
% Number of atoms : 32 ( 0 equ; 0 cnn)
% Maximal formula atoms : 6 ( 4 avg)
% Number of connectives : 47 ( 2 ~; 0 |; 0 &; 45 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 6 avg)
% Number of types : 6 ( 5 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 9 ( 8 usr; 8 con; 0-3 aty)
% Number of variables : 0 ( 0 ^; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
thf(bool_type,type,
bool: $tType ).
thf(nat_type,type,
nat: $tType ).
thf(char_type,type,
char: $tType ).
thf(ty_type,type,
ty: $tType ).
thf(val_type,type,
val: $tType ).
thf(hconf_decl,type,
hconf:
!>[TA: $tType] : ( ( TA @ ( ty @ product_prod ) @ ( ty @ list @ product_prod ) @ ( char @ list @ product_prod ) @ list @ ( ty @ ( char @ list @ product_prod ) @ list @ product_prod ) @ ( char @ list @ product_prod ) @ ( char @ list @ product_prod ) @ list ) > ( val @ option @ ( char @ list @ ( char @ list @ product_prod ) @ fun ) @ ( char @ list @ product_prod ) @ option @ ( nat @ fun ) ) > $o ) ).
thf(p_decl,type,
p: char @ list @ exp @ ( char @ list @ list @ product_prod ) @ ( ty @ product_prod ) @ ( ty @ list @ product_prod ) @ ( char @ list @ product_prod ) @ list @ ( ty @ ( char @ list @ product_prod ) @ list @ product_prod ) @ ( char @ list @ product_prod ) @ ( char @ list @ product_prod ) @ list ).
thf(ha_decl,type,
ha: val @ option @ ( char @ list @ ( char @ list @ product_prod ) @ fun ) @ ( char @ list @ product_prod ) @ option @ ( nat @ fun ) ).
thf(95,axiom,
ha @ ( p @ ( char @ list @ exp @ ( char @ list @ list @ product_prod ) @ hconf ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_0_RedFAss_I3_J) ).
thf(507,plain,
ha @ ( p @ ( char @ list @ exp @ ( char @ list @ list @ product_prod ) @ hconf ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[95]) ).
thf(1,conjecture,
ha @ ( p @ ( char @ list @ exp @ ( char @ list @ list @ product_prod ) @ hconf ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).
thf(2,negated_conjecture,
~ ( ha @ ( p @ ( char @ list @ exp @ ( char @ list @ list @ product_prod ) @ hconf ) ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(107,plain,
~ ( ha @ ( p @ ( char @ list @ exp @ ( char @ list @ list @ product_prod ) @ hconf ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(549,plain,
$false,
inference(rewrite,[status(thm)],[507,107]) ).
thf(550,plain,
$false,
inference(simp,[status(thm)],[549]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWW552_5 : TPTP v9.3.1. Released v6.0.0.
% 0.00/0.06 % 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
% 0.12/0.39 % Computer : n002.cluster.edu
% 0.12/0.39 % Model : x86_64 x86_64
% 0.12/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.39 % Memory : 8046.5625MB
% 0.12/0.39 % OS : Linux 6.8.0-71-generic
% 0.12/0.39 % CPULimit : 300
% 0.12/0.39 % WCLimit : 300
% 0.12/0.39 % DateTime : Sat Sep 26 16:15:05 UTC 2026
% 0.12/0.39 % CPUTime :
% 0.12/0.39 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
% 0.88/0.98 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.97/1.36 % [INFO] Parsing done (377ms).
% 1.97/1.37 % [INFO] Running in sequential loop mode.
% 2.97/1.68 % [INFO] eprover registered as external prover.
% 2.97/1.69 % [INFO] Scanning for conjecture ...
% 3.63/1.83 % [INFO] Found a conjecture (or negated_conjecture) and 104 axioms. Running axiom selection ...
% 4.07/1.93 % [INFO] Axiom selection finished. Selected 104 axioms (removed 0 axioms).
% 5.25/2.17 % [INFO] Problem is typed first-order (TPTP TFF).
% 5.58/2.20 % [INFO] Type checking passed.
% 5.58/2.21 % [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 ...
% 22.71/9.06 % [INFO] Killing All external provers ...
% 22.71/9.06 % Time passed: 8527ms (effective reasoning time: 7683ms)
% 22.71/9.06 % 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)>
% 22.71/9.07 % Axioms used in derivation (1): fact_0_RedFAss_I3_J
% 22.71/9.07 % No. of inferences in proof: 7
% 22.71/9.07 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 8527 ms resp. 7683 ms w/o parsing
% 22.71/9.10 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 22.71/9.10 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------