%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : SYO128^5 : TPTP v9.3.1. Released v4.0.0.
% 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 : n010.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 08:45:16 AM UTC 2026
% Result : Theorem 2.41s 1.20s
% Output : Refutation 2.41s
% 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 : 22 ( 0 equ; 0 cnn)
% Maximal formula atoms : 7 ( 5 avg)
% Number of connectives : 20 ( 2 ~; 6 |; 9 &; 0 @)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 4 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 4 ( 3 usr; 4 con; 0-0 aty)
% Number of variables : 0 ( 0 ^; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
thf(r_decl,type,
r: $o ).
thf(p_decl,type,
p: $o ).
thf(q_decl,type,
q: $o ).
thf(1,conjecture,
( ( p
& ( q
| r ) )
=> ( ( p
& q )
| ( p
& r ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cDISJ_BUG_2) ).
thf(2,negated_conjecture,
~ ( ( p
& ( q
| r ) )
=> ( ( p
& q )
| ( p
& r ) ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(3,plain,
~ ( ( p
& ( q
| r ) )
=> ( ( p
& q )
| ( p
& r ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(9,plain,
$false,
inference(e,[status(thm)],[3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYO128^5 : TPTP v9.3.1. Released v4.0.0.
% 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
% 0.09/0.22 % Computer : n010.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 16:34:48 UTC 2026
% 0.09/0.22 % CPUTime :
% 0.09/0.22 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
% 0.65/0.55 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 0.99/0.64 % [INFO] Parsing done (93ms).
% 0.99/0.65 % [INFO] Running in sequential loop mode.
% 1.30/0.85 % [INFO] eprover registered as external prover.
% 1.30/0.85 % [INFO] Scanning for conjecture ...
% 1.30/0.89 % [INFO] Found a conjecture (or negated_conjecture) and 0 axioms. Running axiom selection ...
% 1.55/0.91 % [INFO] Axiom selection finished. Selected 0 axioms (removed 0 axioms).
% 1.55/0.91 % [INFO] Problem is higher-order (TPTP THF).
% 1.55/0.91 % [INFO] Type checking passed.
% 1.55/0.91 % [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 ...
% 2.18/1.20 % External prover 'e' found a proof!
% 2.41/1.20 % [INFO] Killing All external provers ...
% 2.41/1.20 % Time passed: 882ms (effective reasoning time: 545ms)
% 2.41/1.20 % 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)>
% 2.41/1.20 % Axioms used in derivation (0):
% 2.41/1.20 % No. of inferences in proof: 4
% 2.41/1.20 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 882 ms resp. 545 ms w/o parsing
% 2.41/1.23 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 2.41/1.23 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------