%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : SYO180_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 : 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 : Sun Sep 27 09:43:59 AM UTC 2026
% Result : Theorem 3.80s 2.44s
% Output : Refutation 3.80s
% 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 : 242 ( 71 ~; 0 |; 120 &; 0 @)
% ( 0 <=>; 51 =>; 0 <=; 0 <~>)
% Maximal formula depth : 32 ( 24 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 : 33 ( 0 ^; 33 !; 0 ?; 33 :)
% Comments :
%------------------------------------------------------------------------------
thf(1,conjecture,
! [A: $o,B: $o,C: $o,D: $o,E: $o,F: $o,G: $o,H: $o,I: $o,J: $o,K: $o] :
( ( ( ( ~ C
& ~ I
& E )
=> D )
& ( ( ~ E
& J
& D )
=> ~ K )
& ( ( ~ H
& ~ B
& G )
=> K )
& ( ( ~ C
& ~ I
& D )
=> ~ J )
& ( ( F
& E )
=> ~ K )
& ( ( F
& A
& I )
=> ~ C )
& ( ( ~ E
& ~ D )
=> I )
& ( ( ~ G
& D
& ~ I
& F )
=> ~ C )
& ( ( C
& A )
=> K )
& ( ( ~ H
& ~ G
& E )
=> B )
& ( ( J
& I )
=> K )
& ( ( ~ B
& ~ D )
=> E )
& ( ( C
& G
& ~ I )
=> H )
& ( ( ~ E
& D )
=> C )
& ( ( B
& A )
=> C ) )
=> ( ( A
& F )
=> ( ~ J
& H ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cPORKCHOP2) ).
thf(2,negated_conjecture,
~ ! [A: $o,B: $o,C: $o,D: $o,E: $o,F: $o,G: $o,H: $o,I: $o,J: $o,K: $o] :
( ( ( ( ~ C
& ~ I
& E )
=> D )
& ( ( ~ E
& J
& D )
=> ~ K )
& ( ( ~ H
& ~ B
& G )
=> K )
& ( ( ~ C
& ~ I
& D )
=> ~ J )
& ( ( F
& E )
=> ~ K )
& ( ( F
& A
& I )
=> ~ C )
& ( ( ~ E
& ~ D )
=> I )
& ( ( ~ G
& D
& ~ I
& F )
=> ~ C )
& ( ( C
& A )
=> K )
& ( ( ~ H
& ~ G
& E )
=> B )
& ( ( J
& I )
=> K )
& ( ( ~ B
& ~ D )
=> E )
& ( ( C
& G
& ~ I )
=> H )
& ( ( ~ E
& D )
=> C )
& ( ( B
& A )
=> C ) )
=> ( ( A
& F )
=> ( ~ J
& H ) ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(3,plain,
~ ! [A: $o,B: $o,C: $o,D: $o,E: $o,F: $o,G: $o,H: $o,I: $o,J: $o,K: $o] :
( ( ( ( ~ C
& ~ I
& E )
=> D )
& ( ( ~ E
& J
& D )
=> ~ K )
& ( ( ~ H
& ~ B
& G )
=> K )
& ( ( ~ C
& ~ I
& D )
=> ~ J )
& ( ( F
& E )
=> ~ K )
& ( ( F
& A
& I )
=> ~ C )
& ( ( ~ E
& ~ D )
=> I )
& ( ( ~ G
& D
& ~ I
& F )
=> ~ C )
& ( ( C
& A )
=> K )
& ( ( ~ H
& ~ G
& E )
=> B )
& ( ( J
& I )
=> K )
& ( ( ~ B
& ~ D )
=> E )
& ( ( C
& G
& ~ I )
=> H )
& ( ( ~ E
& D )
=> C )
& ( ( B
& A )
=> C ) )
=> ( ( A
& F )
=> ( ~ J
& H ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(24,plain,
$false,
inference(e,[status(thm)],[3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYO180_8 : TPTP v9.3.1. Released v8.0.0.
% 0.00/0.09 % 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 : n007.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 19:01:54 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
% 0.87/0.98 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.26/1.18 % [INFO] Parsing done (190ms).
% 1.26/1.19 % [INFO] Running in sequential loop mode.
% 2.00/1.60 % [INFO] eprover registered as external prover.
% 2.00/1.61 % [INFO] Scanning for conjecture ...
% 2.22/1.72 % [INFO] Found a conjecture (or negated_conjecture) and 0 axioms. Running axiom selection ...
% 2.22/1.77 % [INFO] Axiom selection finished. Selected 0 axioms (removed 0 axioms).
% 2.22/1.77 % [INFO] Problem is typed first-order (TPTP TFF).
% 2.22/1.77 % [INFO] Type checking passed.
% 2.22/1.78 % [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 ...
% 3.80/2.44 % External prover 'e' found a proof!
% 3.80/2.44 % [INFO] Killing All external provers ...
% 3.80/2.44 % Time passed: 1892ms (effective reasoning time: 1242ms)
% 3.80/2.44 % 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)>
% 3.80/2.44 % Axioms used in derivation (0):
% 3.80/2.44 % No. of inferences in proof: 4
% 3.80/2.44 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 1892 ms resp. 1242 ms w/o parsing
% 3.80/2.47 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 3.80/2.47 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------