%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : SYO031^1 : TPTP v9.3.1. Released v3.7.0.
% 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 : n013.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 08:45:03 AM UTC 2026
% Result : Theorem 2.58s 1.76s
% Output : Refutation 2.78s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 2
% Syntax : Number of formulae : 9 ( 9 unt; 0 typ; 1 def)
% Number of atoms : 15 ( 9 equ; 0 cnn)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 13 ( 9 ~; 0 |; 0 &; 4 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 4 ( 4 >; 0 *; 0 +; 0 <<)
% Number of symbols : 3 ( 1 usr; 2 con; 0-2 aty)
% Number of variables : 10 ( 0 ^; 4 !; 5 ?; 10 :)
% ( 0 !>; 0 ?*; 0 @-; 1 @+)
% Comments :
%------------------------------------------------------------------------------
thf(sk3_decl,type,
sk3: $o ).
thf(sk3_def,definition,
( sk3
= ( @+[A: $o] :
( ( ~ A ) = A ) ) ) ).
thf(1,conjecture,
~ ! [A: $o > $o] :
? [B: $o] :
( ( A @ B )
= B ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj) ).
thf(2,negated_conjecture,
~ ~ ! [A: $o > $o] :
? [B: $o] :
( ( A @ B )
= B ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(3,plain,
~ ~ ! [A: $o > $o] :
? [B: $o] :
( ( A @ B )
= B ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(4,plain,
! [A: $o > $o] :
? [B: $o] :
( ( A @ B )
= B ),
inference(polarity_switch,[status(thm)],[3]) ).
thf(11,plain,
? [A: $o] :
( ( ~ A ) = A ),
inference(instance,[status(thm)],[4]) ).
thf(15,plain,
( ( ~ sk3 ) = sk3 ),
inference(cnf,[status(esa)],[11]) ).
thf(16,plain,
( ( ~ sk3 ) = sk3 ),
inference(lifteq,[status(thm)],[15]) ).
thf(17,plain,
$false,
inference(simp,[status(thm)],[16]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYO031^1 : TPTP v9.3.1. Released v3.7.0.
% 0.00/0.08 % 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
% 0.10/0.20 % Computer : n013.cluster.edu
% 0.10/0.20 % Model : x86_64 x86_64
% 0.10/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.20 % Memory : 8046.5625MB
% 0.10/0.20 % OS : Linux 6.8.0-71-generic
% 0.10/0.20 % CPULimit : 300
% 0.10/0.20 % WCLimit : 300
% 0.10/0.20 % DateTime : Tue Sep 29 16:22:51 UTC 2026
% 0.10/0.20 % CPUTime :
% 0.10/0.20 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
% 0.89/0.79 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.23/0.97 % [INFO] Parsing done (178ms).
% 1.23/0.99 % [INFO] Running in sequential loop mode.
% 2.02/1.40 % [INFO] eprover registered as external prover.
% 2.02/1.41 % [INFO] Scanning for conjecture ...
% 2.02/1.49 % [INFO] Found a conjecture (or negated_conjecture) and 0 axioms. Running axiom selection ...
% 2.21/1.52 % [INFO] Axiom selection finished. Selected 0 axioms (removed 0 axioms).
% 2.21/1.52 % [INFO] Problem is higher-order (TPTP THF).
% 2.21/1.53 % [INFO] Type checking passed.
% 2.21/1.53 % [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 ...
% 2.58/1.76 % [INFO] Killing All external provers ...
% 2.58/1.76 % Time passed: 1408ms (effective reasoning time: 765ms)
% 2.58/1.76 % 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)>
% 2.58/1.76 % Axioms used in derivation (0):
% 2.58/1.76 % No. of inferences in proof: 8
% 2.58/1.76 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 1408 ms resp. 765 ms w/o parsing
% 2.78/1.81 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 2.78/1.81 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------