%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : SET044-5 : TPTP v9.3.1. Released v1.0.0.
% 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 : n008.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 08:29:03 AM UTC 2026
% Result : Unsatisfiable 4.64s 3.20s
% Output : Refutation 4.64s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 4
% Syntax : Number of formulae : 9 ( 1 unt; 0 typ; 0 def)
% Number of atoms : 17 ( 0 equ; 0 cnn)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 52 ( 8 ~; 8 |; 0 &; 36 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 4 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 12 ( 0 ^; 12 !; 0 ?; 12 :)
% Comments :
%------------------------------------------------------------------------------
thf(element_decl,type,
element: $i > $i > $o ).
thf(a_decl,type,
a: $i ).
thf(f_decl,type,
f: $i > $i ).
thf(1,negated_conjecture,
! [A: $i] :
( ( A @ ( A @ element ) )
| ~ ( a @ ( A @ element ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_1) ).
thf(5,plain,
! [A: $i] :
( ( A @ ( A @ element ) )
| ~ ( a @ ( A @ element ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(2,negated_conjecture,
! [A: $i] :
( ( a @ ( A @ element ) )
| ~ ( A @ ( A @ element ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_2) ).
thf(6,plain,
! [A: $i] :
( ( a @ ( A @ element ) )
| ~ ( A @ ( A @ element ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(3,negated_conjecture,
! [B: $i,A: $i] :
( ~ ( B @ ( A @ element ) )
| ~ ( B @ f @ ( A @ element ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_3) ).
thf(7,plain,
! [B: $i,A: $i] :
( ~ ( B @ ( A @ element ) )
| ~ ( B @ f @ ( A @ element ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(4,negated_conjecture,
! [B: $i,A: $i] :
( ( B @ f @ ( A @ element ) )
| ( B @ ( A @ element ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_4) ).
thf(8,plain,
! [B: $i,A: $i] :
( ( B @ f @ ( A @ element ) )
| ( B @ ( A @ element ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(15,plain,
$false,
inference(e,[status(thm)],[5,6,7,8]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SET044-5 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.12 % 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
% 0.23/0.48 % Computer : n008.cluster.edu
% 0.23/0.48 % Model : x86_64 x86_64
% 0.23/0.48 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.23/0.48 % Memory : 8046.5625MB
% 0.23/0.48 % OS : Linux 6.8.0-71-generic
% 0.23/0.48 % CPULimit : 300
% 0.23/0.48 % WCLimit : 300
% 0.23/0.48 % DateTime : Sat Sep 26 06:59:54 UTC 2026
% 0.23/0.48 % CPUTime :
% 0.23/0.48 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
% 1.38/1.34 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.70/1.59 % [INFO] Parsing done (243ms).
% 1.86/1.61 % [INFO] Running in sequential loop mode.
% 2.71/2.22 % [INFO] eprover registered as external prover.
% 2.71/2.24 % [INFO] Scanning for conjecture ...
% 2.88/2.36 % [INFO] Found a conjecture (or negated_conjecture) and 0 axioms. Running axiom selection ...
% 3.02/2.42 % [INFO] Axiom selection finished. Selected 0 axioms (removed 0 axioms).
% 3.02/2.43 % [INFO] Problem is propositional (TPTP CNF).
% 3.02/2.43 % [INFO] Type checking passed.
% 3.02/2.44 % [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 ...
% 4.59/3.19 % External prover 'e' found a proof!
% 4.59/3.19 % [INFO] Killing All external provers ...
% 4.59/3.19 % Time passed: 2505ms (effective reasoning time: 1579ms)
% 4.59/3.20 % Axioms used in derivation (0):
% 4.59/3.20 % No. of inferences in proof: 9
% 4.64/3.20 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p : 2505 ms resp. 1579 ms w/o parsing
% 4.64/3.25 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 4.64/3.25 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------