%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : PUZ060+1 : TPTP v9.3.1. Released v3.1.0.
% 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 08:21:15 AM UTC 2026
% Result : Theorem 2.90s 1.60s
% Output : Refutation 2.90s
% 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 : 43 ( 0 equ; 0 cnn)
% Maximal formula atoms : 14 ( 10 avg)
% Number of connectives : 107 ( 2 ~; 0 |; 24 &; 66 @)
% ( 0 <=>; 15 =>; 0 <=; 0 <~>)
% Maximal formula depth : 21 ( 16 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 : 36 ( 0 ^; 33 !; 3 ?; 36 :)
% Comments :
%------------------------------------------------------------------------------
thf(food_decl,type,
food: $i > $o ).
thf(likes_decl,type,
likes: $i > $i > $o ).
thf(eats_decl,type,
eats: $i > $i > $o ).
thf(not_killed_by_decl,type,
not_killed_by: $i > $i > $o ).
thf(alive_decl,type,
alive: $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 ) ) ) )
=> ( A @ ( B @ likes ) ) ),
file('/export/starexec/sandbox/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 ) ) ) )
=> ( 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 ) ) ) )
=> ( A @ ( B @ likes ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(18,plain,
$false,
inference(e,[status(thm)],[3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : PUZ060+1 : TPTP v9.3.1. Released v3.1.0.
% 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
% 0.11/0.38 % Computer : n007.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Sat Sep 26 05:08:53 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 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
% 0.59/0.70 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 0.71/0.79 % [INFO] Parsing done (91ms).
% 0.71/0.80 % [INFO] Running in sequential loop mode.
% 1.15/0.99 % [INFO] eprover registered as external prover.
% 1.15/0.99 % [INFO] Scanning for conjecture ...
% 1.44/1.05 % [INFO] Found a conjecture (or negated_conjecture) and 0 axioms. Running axiom selection ...
% 1.44/1.08 % [INFO] Axiom selection finished. Selected 0 axioms (removed 0 axioms).
% 1.44/1.08 % [INFO] Problem is first-order (TPTP FOF).
% 1.44/1.08 % [INFO] Type checking passed.
% 1.44/1.08 % [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 ...
% 2.61/1.59 % External prover 'e' found a proof!
% 2.61/1.59 % [INFO] Killing All external provers ...
% 2.61/1.59 % Time passed: 1114ms (effective reasoning time: 796ms)
% 2.61/1.59 % 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)>
% 2.61/1.60 % Axioms used in derivation (0):
% 2.61/1.60 % No. of inferences in proof: 4
% 2.90/1.60 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 1114 ms resp. 796 ms w/o parsing
% 2.90/1.64 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 2.90/1.64 % [INFO] Killing All external provers ...
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