%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : SYO091_8 : TPTP v9.3.1. Released v8.0.0.
% 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 : 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 09:43:50 AM UTC 2026
% Result : Theorem 3.57s 2.36s
% Output : Refutation 3.57s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 1
% Syntax : Number of formulae : 4 ( 1 unt; 0 typ; 0 def)
% Number of atoms : 1 ( 0 equ; 0 cnn)
% Maximal formula atoms : 1 ( 0 avg)
% Number of connectives : 51 ( 2 ~; 0 |; 13 &; 0 @)
% ( 10 <=>; 26 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 7 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 1 ( 0 usr; 1 con; 0-0 aty)
% Number of variables : 9 ( 0 ^; 9 !; 0 ?; 9 :)
% Comments :
%------------------------------------------------------------------------------
thf(1,conjecture,
! [A: $o,B: $o,C: $o] :
( ( ( A
<=> B )
<=> C )
<=> ( A
<=> ( B
<=> C ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cTHM50Q) ).
thf(2,negated_conjecture,
~ ! [A: $o,B: $o,C: $o] :
( ( ( A
<=> B )
<=> C )
<=> ( A
<=> ( B
<=> C ) ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(3,plain,
~ ! [A: $o,B: $o,C: $o] :
( ( ( ( ( ( C
=> B )
& ( B
=> C ) )
=> A )
& ( A
=> ( ( C
=> B )
& ( B
=> C ) ) ) )
=> ( ( C
=> ( ( B
=> A )
& ( A
=> B ) ) )
& ( ( ( B
=> A )
& ( A
=> B ) )
=> C ) ) )
& ( ( ( C
=> ( ( B
=> A )
& ( A
=> B ) ) )
& ( ( ( B
=> A )
& ( A
=> B ) )
=> C ) )
=> ( ( ( ( C
=> B )
& ( B
=> C ) )
=> A )
& ( A
=> ( ( C
=> B )
& ( B
=> C ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(37,plain,
$false,
inference(e,[status(thm)],[3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYO091_8 : TPTP v9.3.1. Released v8.0.0.
% 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
% 0.15/0.41 % Computer : n008.cluster.edu
% 0.15/0.41 % Model : x86_64 x86_64
% 0.15/0.41 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.41 % Memory : 8046.5625MB
% 0.15/0.41 % OS : Linux 6.8.0-71-generic
% 0.15/0.41 % CPULimit : 300
% 0.15/0.41 % WCLimit : 300
% 0.15/0.41 % DateTime : Sat Sep 26 19:02:39 UTC 2026
% 0.15/0.42 % CPUTime :
% 0.15/0.42 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
% 0.88/1.00 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.27/1.18 % [INFO] Parsing done (175ms).
% 1.27/1.19 % [INFO] Running in sequential loop mode.
% 1.99/1.60 % [INFO] eprover registered as external prover.
% 1.99/1.61 % [INFO] Scanning for conjecture ...
% 1.99/1.69 % [INFO] Found a conjecture (or negated_conjecture) and 0 axioms. Running axiom selection ...
% 2.18/1.72 % [INFO] Axiom selection finished. Selected 0 axioms (removed 0 axioms).
% 2.18/1.73 % [INFO] Problem is typed first-order (TPTP TFF).
% 2.18/1.73 % [INFO] Type checking passed.
% 2.18/1.73 % [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 ...
% 3.57/2.35 % External prover 'e' found a proof!
% 3.57/2.35 % [INFO] Killing All external provers ...
% 3.57/2.35 % Time passed: 1793ms (effective reasoning time: 1152ms)
% 3.57/2.35 % 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)>
% 3.57/2.35 % Axioms used in derivation (0):
% 3.57/2.35 % No. of inferences in proof: 4
% 3.57/2.36 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 1793 ms resp. 1152 ms w/o parsing
% 3.57/2.38 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 3.57/2.38 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------