%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : SET633^5 : 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 : n005.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 08:23:04 AM UTC 2026
% Result : Theorem 2.75s 1.69s
% Output : Refutation 3.11s
% 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 : 77 ( 14 ~; 3 |; 15 &; 33 @)
% ( 0 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 9 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 9 ( 9 >; 0 *; 0 +; 0 <<)
% Number of symbols : 1 ( 0 usr; 1 con; 0-0 aty)
% Number of variables : 18 ( 0 ^; 18 !; 0 ?; 18 :)
% Comments :
%------------------------------------------------------------------------------
thf(a_type,type,
a: $tType ).
thf(1,conjecture,
! [A: a > $o,B: a > $o,C: a > $o] :
( ( ! [D: a] :
( ( ( A @ D )
& ~ ( B @ D ) )
=> ( C @ D ) )
& ! [D: a] :
( ( ( B @ D )
& ~ ( A @ D ) )
=> ( C @ D ) ) )
=> ! [D: a] :
( ( ( ( A @ D )
& ~ ( B @ D ) )
| ( ( B @ D )
& ~ ( A @ D ) ) )
=> ( C @ D ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cBOOL_PROP_115_pme) ).
thf(2,negated_conjecture,
~ ! [A: a > $o,B: a > $o,C: a > $o] :
( ( ! [D: a] :
( ( ( A @ D )
& ~ ( B @ D ) )
=> ( C @ D ) )
& ! [D: a] :
( ( ( B @ D )
& ~ ( A @ D ) )
=> ( C @ D ) ) )
=> ! [D: a] :
( ( ( ( A @ D )
& ~ ( B @ D ) )
| ( ( B @ D )
& ~ ( A @ D ) ) )
=> ( C @ D ) ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(3,plain,
~ ! [A: a > $o,B: a > $o,C: a > $o] :
( ( ! [D: a] :
( ( ( A @ D )
& ~ ( B @ D ) )
=> ( C @ D ) )
& ! [D: a] :
( ( ( B @ D )
& ~ ( A @ D ) )
=> ( C @ D ) ) )
=> ! [D: a] :
( ( ( ( A @ D )
& ~ ( B @ D ) )
| ( ( B @ D )
& ~ ( A @ D ) ) )
=> ( C @ D ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(16,plain,
$false,
inference(e,[status(thm)],[3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SET633^5 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.07 % 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
% 0.10/0.20 % Computer : n005.cluster.edu
% 0.10/0.20 % Model : x86_64 x86_64
% 0.10/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.20 % Memory : 8046.5625MB
% 0.10/0.20 % OS : Linux 6.8.0-71-generic
% 0.10/0.20 % CPULimit : 300
% 0.10/0.20 % WCLimit : 300
% 0.10/0.20 % DateTime : Tue Sep 29 13:40:01 UTC 2026
% 0.10/0.20 % CPUTime :
% 0.10/0.20 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
% 0.87/0.78 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.20/0.97 % [INFO] Parsing done (186ms).
% 1.20/0.99 % [INFO] Running in sequential loop mode.
% 1.68/1.29 % [INFO] eprover registered as external prover.
% 1.87/1.30 % [INFO] Scanning for conjecture ...
% 1.87/1.34 % [INFO] Found a conjecture (or negated_conjecture) and 0 axioms. Running axiom selection ...
% 1.87/1.36 % [INFO] Axiom selection finished. Selected 0 axioms (removed 0 axioms).
% 1.87/1.36 % [INFO] Problem is higher-order (TPTP THF).
% 1.87/1.36 % [INFO] Type checking passed.
% 1.87/1.36 % [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 ...
% 2.75/1.69 % External prover 'e' found a proof!
% 2.75/1.69 % [INFO] Killing All external provers ...
% 2.75/1.69 % Time passed: 1344ms (effective reasoning time: 695ms)
% 2.75/1.69 % 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)>
% 2.75/1.69 % Axioms used in derivation (0):
% 2.75/1.69 % No. of inferences in proof: 4
% 2.75/1.69 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 1344 ms resp. 695 ms w/o parsing
% 3.11/1.72 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 3.11/1.72 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------