%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : SEV411^5 : TPTP v9.3.1. Released v4.0.0.
% 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 : n007.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 08:37:15 AM UTC 2026
% Result : Theorem 2.22s 1.62s
% Output : Refutation 2.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 1
% Syntax : Number of formulae : 4 ( 2 unt; 0 typ; 0 def)
% Number of atoms : 14 ( 0 equ; 0 cnn)
% Maximal formula atoms : 6 ( 3 avg)
% Number of connectives : 24 ( 2 ~; 2 |; 0 &; 12 @)
% ( 0 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 4 ( 2 usr; 2 con; 0-1 aty)
% Number of variables : 6 ( 0 ^; 6 !; 0 ?; 6 :)
% Comments :
%------------------------------------------------------------------------------
thf(cB_decl,type,
cB: $i > $o ).
thf(cA_decl,type,
cA: $i > $o ).
thf(1,conjecture,
( ( ! [A: $i] :
( ( cA @ A )
=> ( cB @ A ) )
| ! [A: $i] :
( ( cA @ A )
=> ( cB @ A ) ) )
=> ! [A: $i] :
( ( cA @ A )
=> ( cB @ A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cDUAL_EG1_pme) ).
thf(2,negated_conjecture,
~ ( ( ! [A: $i] :
( ( cA @ A )
=> ( cB @ A ) )
| ! [A: $i] :
( ( cA @ A )
=> ( cB @ A ) ) )
=> ! [A: $i] :
( ( cA @ A )
=> ( cB @ A ) ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(3,plain,
~ $true,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(4,plain,
$false,
inference(simp,[status(thm)],[3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SEV411^5 : TPTP v9.3.1. Released v4.0.0.
% 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
% 0.09/0.17 % Computer : n007.cluster.edu
% 0.09/0.17 % Model : x86_64 x86_64
% 0.09/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.17 % Memory : 8046.5625MB
% 0.09/0.17 % OS : Linux 6.8.0-71-generic
% 0.09/0.17 % CPULimit : 300
% 0.09/0.17 % WCLimit : 300
% 0.09/0.17 % DateTime : Tue Sep 29 15:43:10 UTC 2026
% 0.09/0.18 % CPUTime :
% 0.09/0.18 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
% 0.87/0.76 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.18/0.94 % [INFO] Parsing done (175ms).
% 1.18/0.95 % [INFO] Running in sequential loop mode.
% 1.75/1.34 % [INFO] eprover registered as external prover.
% 1.75/1.35 % [INFO] Scanning for conjecture ...
% 1.92/1.43 % [INFO] Found a conjecture (or negated_conjecture) and 0 axioms. Running axiom selection ...
% 1.92/1.46 % [INFO] Axiom selection finished. Selected 0 axioms (removed 0 axioms).
% 1.92/1.46 % [INFO] Problem is higher-order (TPTP THF).
% 1.92/1.47 % [INFO] Type checking passed.
% 1.92/1.47 % [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 ...
% 2.22/1.62 % [INFO] Killing All external provers ...
% 2.22/1.62 % Time passed: 1296ms (effective reasoning time: 656ms)
% 2.22/1.62 % 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)>
% 2.22/1.62 % Axioms used in derivation (0):
% 2.22/1.62 % No. of inferences in proof: 4
% 2.22/1.62 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 1296 ms resp. 656 ms w/o parsing
% 2.22/1.67 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 2.22/1.67 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------