%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : PHI045^6 : TPTP v9.3.1. Released v9.0.0.
% 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 : 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 08:20:15 AM UTC 2026
% Result : Theorem 4.59s 2.53s
% Output : Refutation 4.59s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 4
% Syntax : Number of formulae : 10 ( 4 unt; 0 typ; 0 def)
% Number of atoms : 16 ( 1 equ; 0 cnn)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 26 ( 5 ~; 0 |; 2 &; 15 @)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 4 ( 4 >; 0 *; 0 +; 0 <<)
% Number of symbols : 4 ( 2 usr; 1 con; 0-2 aty)
% Number of variables : 11 ( 2 ^; 6 !; 3 ?; 11 :)
% Comments :
%------------------------------------------------------------------------------
thf(entity_type,type,
entity: $tType ).
thf(god_like_decl,type,
god_like: entity > $o ).
thf(positive_property_decl,type,
positive_property: ( entity > $o ) > $o ).
thf(1,conjecture,
? [A: entity] : ( god_like @ A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_1) ).
thf(2,negated_conjecture,
~ ? [A: entity] : ( god_like @ A ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(6,plain,
~ ? [A: entity] : ( god_like @ A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(3,axiom,
~ ( positive_property
@ ^ [A: entity] : ( A != A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',coro1) ).
thf(8,plain,
~ ( positive_property
@ ^ [A: entity] : $false ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(4,axiom,
! [A: entity > $o,B: entity > $o] :
( ( ( positive_property @ A )
& ! [C: entity] :
( ( A @ C )
=> ( B @ C ) ) )
=> ( positive_property @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',coro2) ).
thf(10,plain,
! [A: entity > $o,B: entity > $o] :
( ( ( positive_property @ A )
& ! [C: entity] :
( ( A @ C )
=> ( B @ C ) ) )
=> ( positive_property @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(5,axiom,
positive_property @ god_like,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom3) ).
thf(14,plain,
positive_property @ god_like,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(15,plain,
$false,
inference(e,[status(thm)],[6,8,10,14]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : PHI045^6 : TPTP v9.3.1. Released v9.0.0.
% 0.00/0.08 % 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
% 0.10/0.24 % Computer : n005.cluster.edu
% 0.10/0.24 % Model : x86_64 x86_64
% 0.10/0.24 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.24 % Memory : 8046.5625MB
% 0.10/0.24 % OS : Linux 6.8.0-71-generic
% 0.10/0.24 % CPULimit : 300
% 0.10/0.24 % WCLimit : 300
% 0.10/0.24 % DateTime : Tue Sep 29 13:20:01 UTC 2026
% 0.10/0.24 % CPUTime :
% 0.10/0.25 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
% 1.18/0.98 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.76/1.21 % [INFO] Parsing done (227ms).
% 1.76/1.23 % [INFO] Running in sequential loop mode.
% 2.59/1.71 % [INFO] eprover registered as external prover.
% 2.59/1.72 % [INFO] Scanning for conjecture ...
% 2.80/1.83 % [INFO] Found a conjecture (or negated_conjecture) and 3 axioms. Running axiom selection ...
% 2.80/1.87 % [INFO] Axiom selection finished. Selected 3 axioms (removed 0 axioms).
% 2.80/1.88 % [INFO] Problem is higher-order (TPTP THF).
% 2.80/1.89 % [INFO] Type checking passed.
% 2.80/1.89 % [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 ...
% 4.59/2.52 % External prover 'e' found a proof!
% 4.59/2.52 % [INFO] Killing All external provers ...
% 4.59/2.52 % Time passed: 2065ms (effective reasoning time: 1287ms)
% 4.59/2.52 % 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)>
% 4.59/2.52 % Axioms used in derivation (3): coro1, coro2, axiom3
% 4.59/2.52 % No. of inferences in proof: 10
% 4.59/2.53 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 2065 ms resp. 1287 ms w/o parsing
% 4.59/2.58 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 4.59/2.58 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------