%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : SET044+1 : TPTP v9.3.1. Released v2.0.0.
% 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 : n026.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 08:29:02 AM UTC 2026
% Result : Theorem 3.16s 2.24s
% Output : Refutation 3.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 1
% Syntax : Number of formulae : 4 ( 1 unt; 0 typ; 0 def)
% Number of atoms : 17 ( 0 equ; 0 cnn)
% Maximal formula atoms : 8 ( 4 avg)
% Number of connectives : 54 ( 9 ~; 0 |; 2 &; 32 @)
% ( 4 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 9 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 2 ( 1 usr; 1 con; 0-2 aty)
% Number of variables : 15 ( 0 ^; 9 !; 6 ?; 15 :)
% Comments :
%------------------------------------------------------------------------------
thf(element_decl,type,
element: $i > $i > $o ).
thf(1,conjecture,
( ? [A: $i] :
! [B: $i] :
( ( A @ ( B @ element ) )
<=> ( B @ ( B @ element ) ) )
=> ~ ! [A: $i] :
? [B: $i] :
! [C: $i] :
( ( B @ ( C @ element ) )
<=> ~ ( A @ ( C @ element ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel40) ).
thf(2,negated_conjecture,
~ ( ? [A: $i] :
! [B: $i] :
( ( A @ ( B @ element ) )
<=> ( B @ ( B @ element ) ) )
=> ~ ! [A: $i] :
? [B: $i] :
! [C: $i] :
( ( B @ ( C @ element ) )
<=> ~ ( A @ ( C @ element ) ) ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(3,plain,
~ ( ? [A: $i] :
! [B: $i] :
( ( ( B @ ( B @ element ) )
=> ( A @ ( B @ element ) ) )
& ( ( A @ ( B @ element ) )
=> ( B @ ( B @ element ) ) ) )
=> ~ ! [A: $i] :
? [B: $i] :
! [C: $i] :
( ( ~ ( A @ ( C @ element ) )
=> ( B @ ( C @ element ) ) )
& ( ( B @ ( C @ element ) )
=> ~ ( A @ ( C @ element ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(15,plain,
$false,
inference(e,[status(thm)],[3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SET044+1 : TPTP v9.3.1. Released v2.0.0.
% 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
% 0.12/0.38 % Computer : n026.cluster.edu
% 0.12/0.38 % Model : x86_64 x86_64
% 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38 % Memory : 8046.5625MB
% 0.12/0.38 % OS : Linux 6.8.0-71-generic
% 0.12/0.38 % CPULimit : 300
% 0.12/0.38 % WCLimit : 300
% 0.12/0.38 % DateTime : Sat Sep 26 07:01:55 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 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
% 0.85/0.96 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.21/1.13 % [INFO] Parsing done (171ms).
% 1.21/1.15 % [INFO] Running in sequential loop mode.
% 1.70/1.55 % [INFO] eprover registered as external prover.
% 1.70/1.56 % [INFO] Scanning for conjecture ...
% 1.89/1.65 % [INFO] Found a conjecture (or negated_conjecture) and 0 axioms. Running axiom selection ...
% 1.89/1.68 % [INFO] Axiom selection finished. Selected 0 axioms (removed 0 axioms).
% 1.89/1.68 % [INFO] Problem is first-order (TPTP FOF).
% 1.89/1.69 % [INFO] Type checking passed.
% 1.89/1.69 % [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 ...
% 3.16/2.24 % External prover 'e' found a proof!
% 3.16/2.24 % [INFO] Killing All external provers ...
% 3.16/2.24 % Time passed: 1717ms (effective reasoning time: 1085ms)
% 3.16/2.24 % 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)>
% 3.16/2.24 % Axioms used in derivation (0):
% 3.16/2.24 % No. of inferences in proof: 4
% 3.16/2.24 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 1717 ms resp. 1085 ms w/o parsing
% 3.16/2.27 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 3.16/2.27 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------