%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : ITP128^1 : TPTP v9.3.1. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox/solver/bin/leo3.jar /export/starexec/sandbox/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox/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 08:06:52 AM UTC 2026
% Result : Theorem 28.42s 12.88s
% Output : Refutation 28.42s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 2
% Syntax : Number of formulae : 7 ( 7 unt; 0 typ; 0 def)
% Number of atoms : 7 ( 0 equ; 0 cnn)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 7 ( 2 ~; 0 |; 0 &; 5 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 3 ( 2 avg)
% Number of types : 13 ( 12 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 3 ( 2 usr; 1 con; 0-2 aty)
% Number of variables : 0 ( 0 ^; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
thf(multiset_b_type,type,
multiset_b: $tType ).
thf(multiset_a_type,type,
multiset_a: $tType ).
thf(fset_b_type,type,
fset_b: $tType ).
thf(fset_a_type,type,
fset_a: $tType ).
thf(set_d_type,type,
set_d: $tType ).
thf(set_c_type,type,
set_c: $tType ).
thf(set_b_type,type,
set_b: $tType ).
thf(set_a_type,type,
set_a: $tType ).
thf(d_type,type,
d: $tType ).
thf(c_type,type,
c: $tType ).
thf(b_type,type,
b: $tType ).
thf(a_type,type,
a: $tType ).
thf(finite746615251te_a_c_decl,type,
finite746615251te_a_c: ( a > c > c ) > $o ).
thf(f1_decl,type,
f1: a > c > c ).
thf(97,axiom,
finite746615251te_a_c @ f1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_0_assms_I2_J) ).
thf(427,plain,
finite746615251te_a_c @ f1,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[97]) ).
thf(1,conjecture,
finite746615251te_a_c @ f1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).
thf(2,negated_conjecture,
~ ( finite746615251te_a_c @ f1 ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(104,plain,
~ ( finite746615251te_a_c @ f1 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(462,plain,
$false,
inference(rewrite,[status(thm)],[427,104]) ).
thf(463,plain,
$false,
inference(simp,[status(thm)],[462]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ITP128^1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.08 % Command : java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox/solver/bin/leo3.jar /export/starexec/sandbox/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox/solver/bin/externals/eprover --instantiate 39
% 0.12/0.21 % Computer : n015.cluster.edu
% 0.12/0.21 % Model : x86_64 x86_64
% 0.12/0.21 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.21 % Memory : 8046.5625MB
% 0.12/0.21 % OS : Linux 6.8.0-71-generic
% 0.12/0.21 % CPULimit : 300
% 0.12/0.21 % WCLimit : 300
% 0.12/0.21 % DateTime : Tue Sep 29 20:01:03 UTC 2026
% 0.12/0.22 % CPUTime :
% 0.12/0.22 Running java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox/solver/bin/leo3.jar /export/starexec/sandbox/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox/solver/bin/externals/eprover --instantiate 39
% 1.03/0.80 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 2.81/1.32 % [INFO] Parsing done (522ms).
% 2.81/1.34 % [INFO] Running in sequential loop mode.
% 3.66/1.70 % [INFO] eprover registered as external prover.
% 3.66/1.71 % [INFO] Scanning for conjecture ...
% 4.23/1.92 % [INFO] Found a conjecture (or negated_conjecture) and 363 axioms. Running axiom selection ...
% 4.54/2.06 % [INFO] Axiom selection finished. Selected 101 axioms (removed 262 axioms).
% 5.16/2.25 % [INFO] Problem is higher-order (TPTP THF).
% 5.16/2.27 % [INFO] Type checking passed.
% 5.16/2.28 % [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 ...
% 28.42/12.87 % [INFO] Killing All external provers ...
% 28.42/12.87 % Time passed: 12510ms (effective reasoning time: 11529ms)
% 28.42/12.87 % 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)>
% 28.42/12.88 % Axioms used in derivation (1): fact_0_assms_I2_J
% 28.42/12.88 % No. of inferences in proof: 7
% 28.42/12.88 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 12510 ms resp. 11529 ms w/o parsing
% 28.42/12.89 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 28.42/12.89 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------