%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : SYN977+1 : TPTP v9.3.1. Released v3.1.0.
% 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 09:20:32 AM UTC 2026
% Result : Theorem 3.11s 2.15s
% Output : Refutation 3.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 1
% Syntax : Number of formulae : 9 ( 3 unt; 0 typ; 0 def)
% Number of atoms : 31 ( 0 equ; 0 cnn)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 32 ( 10 ~; 12 |; 6 &; 0 @)
% ( 2 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 3 ( 2 usr; 3 con; 0-0 aty)
% Number of variables : 0 ( 0 ^; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
thf(a_decl,type,
a: $o ).
thf(b_decl,type,
b: $o ).
thf(1,conjecture,
( b
| a
| ( a
<=> b ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).
thf(2,negated_conjecture,
~ ( b
| a
| ( a
<=> b ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(3,plain,
~ ( b
| a
| ( ( b
=> a )
& ( a
=> b ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(4,plain,
( ~ b
& ~ a
& ( ~ a
| ~ b )
& ( b
| ~ b )
& ( ~ a
| a )
& ( b
| a ) ),
inference(cnf,[status(esa)],[3]) ).
thf(7,plain,
( b
| a ),
inference(cnfConj,[status(thm)],[4]) ).
thf(9,plain,
~ a,
inference(cnfConj,[status(thm)],[4]) ).
thf(10,plain,
~ b,
inference(cnfConj,[status(thm)],[4]) ).
thf(13,plain,
( $false
| $false ),
inference(rewrite,[status(thm)],[7,9,10]) ).
thf(14,plain,
$false,
inference(simp,[status(thm)],[13]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN977+1 : TPTP v9.3.1. Released v3.1.0.
% 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
% 0.16/0.41 % Computer : n008.cluster.edu
% 0.16/0.41 % Model : x86_64 x86_64
% 0.16/0.41 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.41 % Memory : 8046.5625MB
% 0.16/0.41 % OS : Linux 6.8.0-71-generic
% 0.16/0.41 % CPULimit : 300
% 0.16/0.41 % WCLimit : 300
% 0.16/0.41 % DateTime : Sat Sep 26 18:53:39 UTC 2026
% 0.16/0.41 % CPUTime :
% 0.16/0.41 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
% 1.09/1.04 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.43/1.21 % [INFO] Parsing done (164ms).
% 1.43/1.22 % [INFO] Running in sequential loop mode.
% 2.07/1.62 % [INFO] eprover registered as external prover.
% 2.07/1.63 % [INFO] Scanning for conjecture ...
% 2.07/1.69 % [INFO] Found a conjecture (or negated_conjecture) and 0 axioms. Running axiom selection ...
% 2.24/1.72 % [INFO] Axiom selection finished. Selected 0 axioms (removed 0 axioms).
% 2.24/1.73 % [INFO] Problem is first-order (TPTP FOF).
% 2.24/1.73 % [INFO] Type checking passed.
% 2.24/1.73 % [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 ...
% 3.11/2.15 % [INFO] Killing All external provers ...
% 3.11/2.15 % Time passed: 1585ms (effective reasoning time: 921ms)
% 3.11/2.15 % 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)>
% 3.11/2.15 % Axioms used in derivation (0):
% 3.11/2.15 % No. of inferences in proof: 9
% 3.11/2.15 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 1585 ms resp. 921 ms w/o parsing
% 3.11/2.18 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 3.11/2.18 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------