%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : PUZ061+1 : TPTP v9.3.1. Released v3.1.0.
% 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 : n018.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 08:21:15 AM UTC 2026
% Result : Theorem 4.09s 2.12s
% Output : Refutation 4.09s
% 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 : 52 ( 0 equ; 0 cnn)
% Maximal formula atoms : 17 ( 13 avg)
% Number of connectives : 131 ( 2 ~; 0 |; 30 &; 81 @)
% ( 0 <=>; 18 =>; 0 <=; 0 <~>)
% Maximal formula depth : 22 ( 17 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 6 ( 5 usr; 1 con; 0-2 aty)
% Number of variables : 42 ( 0 ^; 39 !; 3 ?; 42 :)
% Comments :
%------------------------------------------------------------------------------
thf(alive_decl,type,
alive: $i > $o ).
thf(eats_decl,type,
eats: $i > $i > $o ).
thf(likes_decl,type,
likes: $i > $i > $o ).
thf(food_decl,type,
food: $i > $o ).
thf(not_killed_by_decl,type,
not_killed_by: $i > $i > $o ).
thf(1,conjecture,
! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i] :
( ( ! [G: $i] :
( ( G @ alive )
=> ! [H: $i] : ( H @ ( G @ not_killed_by ) ) )
& ! [G: $i] :
( ( G @ ( C @ eats ) )
=> ( G @ ( D @ eats ) ) )
& ( C @ alive )
& ( A @ ( C @ eats ) )
& ! [G: $i] :
( ? [H: $i] :
( ( G @ ( H @ not_killed_by ) )
& ( G @ ( H @ eats ) ) )
=> ( G @ food ) )
& ( F @ food )
& ( E @ food )
& ! [G: $i] :
( ( G @ food )
=> ( G @ ( B @ likes ) ) )
& ! [G: $i,H: $i] :
( ( ( F @ ( H @ eats ) )
& ( H @ alive ) )
=> ( G @ ( H @ likes ) ) ) )
=> ( A @ ( B @ likes ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).
thf(2,negated_conjecture,
~ ! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i] :
( ( ! [G: $i] :
( ( G @ alive )
=> ! [H: $i] : ( H @ ( G @ not_killed_by ) ) )
& ! [G: $i] :
( ( G @ ( C @ eats ) )
=> ( G @ ( D @ eats ) ) )
& ( C @ alive )
& ( A @ ( C @ eats ) )
& ! [G: $i] :
( ? [H: $i] :
( ( G @ ( H @ not_killed_by ) )
& ( G @ ( H @ eats ) ) )
=> ( G @ food ) )
& ( F @ food )
& ( E @ food )
& ! [G: $i] :
( ( G @ food )
=> ( G @ ( B @ likes ) ) )
& ! [G: $i,H: $i] :
( ( ( F @ ( H @ eats ) )
& ( H @ alive ) )
=> ( G @ ( H @ likes ) ) ) )
=> ( A @ ( B @ likes ) ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(3,plain,
~ ! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i] :
( ( ! [G: $i] :
( ( G @ alive )
=> ! [H: $i] : ( H @ ( G @ not_killed_by ) ) )
& ! [G: $i] :
( ( G @ ( C @ eats ) )
=> ( G @ ( D @ eats ) ) )
& ( C @ alive )
& ( A @ ( C @ eats ) )
& ! [G: $i] :
( ? [H: $i] :
( ( G @ ( H @ not_killed_by ) )
& ( G @ ( H @ eats ) ) )
=> ( G @ food ) )
& ( F @ food )
& ( E @ food )
& ! [G: $i] :
( ( G @ food )
=> ( G @ ( B @ likes ) ) )
& ! [G: $i,H: $i] :
( ( ( F @ ( H @ eats ) )
& ( H @ alive ) )
=> ( G @ ( H @ likes ) ) ) )
=> ( A @ ( B @ likes ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(29,plain,
$false,
inference(e,[status(thm)],[3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : PUZ061+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.11 % 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
% 0.23/0.49 % Computer : n018.cluster.edu
% 0.23/0.49 % Model : x86_64 x86_64
% 0.23/0.49 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.23/0.49 % Memory : 8046.5625MB
% 0.23/0.49 % OS : Linux 6.8.0-71-generic
% 0.23/0.49 % CPULimit : 300
% 0.23/0.49 % WCLimit : 300
% 0.23/0.49 % DateTime : Sat Sep 26 05:13:06 UTC 2026
% 0.23/0.49 % CPUTime :
% 0.23/0.49 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
% 0.97/0.96 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.31/1.10 % [INFO] Parsing done (141ms).
% 1.31/1.11 % [INFO] Running in sequential loop mode.
% 1.96/1.43 % [INFO] eprover registered as external prover.
% 1.96/1.44 % [INFO] Scanning for conjecture ...
% 2.22/1.53 % [INFO] Found a conjecture (or negated_conjecture) and 0 axioms. Running axiom selection ...
% 2.22/1.56 % [INFO] Axiom selection finished. Selected 0 axioms (removed 0 axioms).
% 2.22/1.57 % [INFO] Problem is first-order (TPTP FOF).
% 2.22/1.57 % [INFO] Type checking passed.
% 2.22/1.57 % [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 ...
% 4.09/2.12 % External prover 'e' found a proof!
% 4.09/2.12 % [INFO] Killing All external provers ...
% 4.09/2.12 % Time passed: 1506ms (effective reasoning time: 1007ms)
% 4.09/2.12 % 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)>
% 4.09/2.12 % Axioms used in derivation (0):
% 4.09/2.12 % No. of inferences in proof: 4
% 4.09/2.12 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 1506 ms resp. 1007 ms w/o parsing
% 4.09/2.15 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 4.09/2.15 % [INFO] Killing All external provers ...
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