%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : SYO345_8 : TPTP v9.3.1. Released v8.0.0.
% 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 : n006.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 09:44:18 AM UTC 2026
% Result : Theorem 3.24s 2.20s
% Output : Refutation 3.24s
% 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 : 28 ( 4 ~; 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(cH_decl,type,
cH: $o > $i ).
thf(1,conjecture,
( ( ( ( $true @ cH )
= ( $false @ cH ) )
@ cH )
= ( $false @ cH ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cTHM615) ).
thf(2,negated_conjecture,
( ( ( ( $true @ cH )
= ( $false @ cH ) )
@ cH )
!= ( $false @ cH ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(3,plain,
( ( ( ( $true @ cH )
= ( $false @ cH ) )
@ cH )
!= ( $false @ cH ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(4,plain,
( ( ( ( $true @ cH )
= ( $false @ cH ) )
@ cH )
!= ( $false @ cH ) ),
inference(lifteq,[status(thm)],[3]) ).
thf(5,plain,
( ( $true @ cH )
= ( $false @ cH ) ),
inference(simp,[status(thm)],[4]) ).
thf(6,plain,
( ( $false @ cH )
= ( $true @ cH ) ),
inference(lifteq,[status(thm)],[5]) ).
thf(7,plain,
( ( ( ( $true @ cH )
= ( $true @ cH ) )
@ cH )
!= ( $true @ cH ) ),
inference(rewrite,[status(thm)],[4,6]) ).
thf(8,plain,
$false,
inference(simp,[status(thm)],[7]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYO345_8 : TPTP v9.3.1. Released v8.0.0.
% 0.00/0.08 % 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
% 0.15/0.40 % Computer : n006.cluster.edu
% 0.15/0.40 % Model : x86_64 x86_64
% 0.15/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.40 % Memory : 8046.5625MB
% 0.15/0.40 % OS : Linux 6.8.0-71-generic
% 0.15/0.40 % CPULimit : 300
% 0.15/0.40 % WCLimit : 300
% 0.15/0.40 % DateTime : Sat Sep 26 19:09:10 UTC 2026
% 0.15/0.40 % CPUTime :
% 0.15/0.40 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
% 0.87/0.97 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.29/1.15 % [INFO] Parsing done (171ms).
% 1.29/1.16 % [INFO] Running in sequential loop mode.
% 1.82/1.57 % [INFO] eprover registered as external prover.
% 1.82/1.58 % [INFO] Scanning for conjecture ...
% 2.03/1.66 % [INFO] Found a conjecture (or negated_conjecture) and 0 axioms. Running axiom selection ...
% 2.03/1.69 % [INFO] Axiom selection finished. Selected 0 axioms (removed 0 axioms).
% 2.03/1.69 % [INFO] Problem is typed first-order (TPTP TFF).
% 2.18/1.70 % [INFO] Type checking passed.
% 2.18/1.70 % [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 ...
% 3.09/2.19 % [INFO] Killing All external provers ...
% 3.09/2.19 % Time passed: 1654ms (effective reasoning time: 1025ms)
% 3.09/2.19 % 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)>
% 3.09/2.20 % Axioms used in derivation (0):
% 3.09/2.20 % No. of inferences in proof: 8
% 3.24/2.20 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 1654 ms resp. 1025 ms w/o parsing
% 3.24/2.22 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 3.24/2.22 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------