%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : SEV644+1 : TPTP v9.3.1. Released v9.3.0.
% Transfm : none
% Format : tptp:raw
% Command : java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox/solver/bin/leo3.jar /export/starexec/sandbox/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox/solver/bin/externals/eprover --instantiate 39
% Computer : n012.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 08:48:17 AM UTC 2026
% Result : Theorem 6.23s 12.40s
% Output : Refutation 6.61s
% 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 : 8 ( 0 equ; 0 cnn)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 12 ( 2 ~; 0 |; 0 &; 6 @)
% ( 2 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 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 : 2 ( 0 ^; 2 !; 0 ?; 2 :)
% Comments :
%------------------------------------------------------------------------------
thf(cProp___24t_decl,type,
cProp___24t: $i > $o ).
thf(p_decl,type,
p: $i > $o ).
thf(1,conjecture,
! [A: $i] :
( ( A @ cProp___24t )
=> ( ( A @ p )
<=> ( A @ p ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','_HAMMER_GOAL') ).
thf(2,negated_conjecture,
~ ! [A: $i] :
( ( A @ cProp___24t )
=> ( ( A @ p )
<=> ( A @ p ) ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(89,plain,
~ $true,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(90,plain,
$false,
inference(simp,[status(thm)],[89]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : SEV644+1 : TPTP v9.3.1. Released v9.3.0.
% 0.00/0.04 % Command : java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox/solver/bin/leo3.jar /export/starexec/sandbox/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox/solver/bin/externals/eprover --instantiate 39
% 0.06/10.34 % Computer : n012.cluster.edu
% 0.06/10.34 % Model : x86_64 x86_64
% 0.06/10.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/10.34 % Memory : 8046.5625MB
% 0.06/10.34 % OS : Linux 6.8.0-71-generic
% 0.06/10.34 % CPULimit : 300
% 0.06/10.34 % WCLimit : 300
% 0.06/10.34 % DateTime : Sat Sep 26 11:31:03 UTC 2026
% 0.06/10.34 % CPUTime :
% 0.06/10.34 Running java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox/solver/bin/leo3.jar /export/starexec/sandbox/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox/solver/bin/externals/eprover --instantiate 39
% 0.09/10.62 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.85/11.06 % [INFO] Parsing done (446ms).
% 1.85/11.07 % [INFO] Running in sequential loop mode.
% 2.44/11.25 % [INFO] eprover registered as external prover.
% 2.44/11.26 % [INFO] Scanning for conjecture ...
% 3.07/11.49 % [INFO] Found a conjecture (or negated_conjecture) and 2363 axioms. Running axiom selection ...
% 3.94/11.64 % [INFO] Axiom selection finished. Selected 86 axioms (removed 2277 axioms).
% 4.25/11.72 % [INFO] Problem is first-order (TPTP FOF).
% 4.25/11.73 % [INFO] Type checking passed.
% 4.25/11.74 % [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 ...
% 6.23/12.39 % [INFO] Killing All external provers ...
% 6.23/12.39 % Time passed: 1982ms (effective reasoning time: 1316ms)
% 6.23/12.39 % 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)>
% 6.23/12.39 % Axioms used in derivation (0):
% 6.23/12.39 % No. of inferences in proof: 4
% 6.23/12.40 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 1982 ms resp. 1316 ms w/o parsing
% 6.61/12.41 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 6.61/12.41 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------