%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : SYO039^1 : 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 : n014.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 08:45:04 AM UTC 2026
% Result : Unsatisfiable 3.11s 1.64s
% Output : Refutation 3.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 1
% Syntax : Number of formulae : 8 ( 8 unt; 0 typ; 0 def)
% Number of atoms : 32 ( 12 equ; 0 cnn)
% Maximal formula atoms : 1 ( 4 avg)
% Number of connectives : 30 ( 6 ~; 0 |; 0 &; 24 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 2 ( 2 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 4 ( 1 usr; 2 con; 0-2 aty)
% Number of variables : 0 ( 0 ^; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
thf(h_decl,type,
h: $o > $i ).
thf(1,axiom,
( ( h
@ ( ( h @ $false )
= ( h @ ~ $false ) ) )
!= ( h @ $false ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',1) ).
thf(2,plain,
( ( h
@ ( ( h @ $false )
= ( h @ $true ) ) )
!= ( h @ $false ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(3,plain,
( ( h
@ ( ( h @ $false )
= ( h @ $true ) ) )
!= ( h @ $false ) ),
inference(polarity_switch,[status(thm)],[2]) ).
thf(4,plain,
( ( h
@ ( ( h @ $false )
= ( h @ $true ) ) )
!= ( h @ $false ) ),
inference(lifteq,[status(thm)],[3]) ).
thf(5,plain,
( ( h @ $false )
= ( h @ $true ) ),
inference(simp,[status(thm)],[4]) ).
thf(6,plain,
( ( h @ $false )
= ( h @ $true ) ),
inference(lifteq,[status(thm)],[5]) ).
thf(7,plain,
( ( h
@ ( ( h @ $true )
= ( h @ $true ) ) )
!= ( h @ $true ) ),
inference(rewrite,[status(thm)],[4,6]) ).
thf(8,plain,
$false,
inference(simp,[status(thm)],[7]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYO039^1 : TPTP v9.3.1. Released v4.0.0.
% 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
% 0.09/0.22 % Computer : n014.cluster.edu
% 0.09/0.22 % Model : x86_64 x86_64
% 0.09/0.22 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.22 % Memory : 8046.5625MB
% 0.09/0.22 % OS : Linux 6.8.0-71-generic
% 0.09/0.22 % CPULimit : 300
% 0.09/0.22 % WCLimit : 300
% 0.09/0.22 % DateTime : Tue Sep 29 16:23:30 UTC 2026
% 0.09/0.22 % CPUTime :
% 0.09/0.22 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
% 0.64/0.54 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 0.97/0.63 % [INFO] Parsing done (88ms).
% 0.97/0.64 % [INFO] Running in sequential loop mode.
% 1.44/0.94 % [INFO] eprover registered as external prover.
% 1.44/0.95 % [INFO] Scanning for conjecture ...
% 1.44/1.01 % [INFO] 1 axioms and no conjecture found.
% 1.69/1.05 % [INFO] Problem is higher-order (TPTP THF).
% 1.69/1.06 % [INFO] Type checking passed.
% 1.69/1.06 % [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 ...
% 3.11/1.63 % [INFO] Killing All external provers ...
% 3.11/1.63 % Time passed: 1303ms (effective reasoning time: 988ms)
% 3.11/1.63 % Axioms used in derivation (1): 1
% 3.11/1.63 % No. of inferences in proof: 8
% 3.11/1.64 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p : 1303 ms resp. 988 ms w/o parsing
% 3.11/1.66 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 3.11/1.66 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------