%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : PHI011+1 : TPTP v9.3.1. Released v7.2.0.
% 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 : n015.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 08:19:32 AM UTC 2026
% Result : Theorem 3.34s 2.31s
% Output : Refutation 3.34s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 5
% Syntax : Number of formulae : 12 ( 1 unt; 0 typ; 0 def)
% Number of atoms : 47 ( 2 equ; 0 cnn)
% Maximal formula atoms : 6 ( 3 avg)
% Number of connectives : 100 ( 4 ~; 0 |; 13 &; 61 @)
% ( 0 <=>; 22 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 7 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 6 ( 4 usr; 1 con; 0-2 aty)
% Number of variables : 25 ( 0 ^; 22 !; 3 ?; 25 :)
% Comments :
%------------------------------------------------------------------------------
thf(property_decl,type,
property: $i > $o ).
thf(object_decl,type,
object: $i > $o ).
thf(is_the_decl,type,
is_the: $i > $i > $o ).
thf(exemplifies_property_decl,type,
exemplifies_property: $i > $i > $o ).
thf(6,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( C @ object )
& ( B @ property )
& ( A @ object ) )
=> ( ( ( A = C )
& ( B @ ( A @ is_the ) ) )
=> ( C @ ( B @ exemplifies_property ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lemma_1) ).
thf(25,plain,
! [A: $i,B: $i,C: $i] :
( ( ( C @ object )
& ( B @ property )
& ( A @ object ) )
=> ( ( ( A = C )
& ( B @ ( A @ is_the ) ) )
=> ( C @ ( B @ exemplifies_property ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(5,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ is_the ) )
=> ( ( A @ object )
& ( B @ property ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',description_is_property_and_described_is_object) ).
thf(21,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ is_the ) )
=> ( ( A @ object )
& ( B @ property ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(4,axiom,
! [A: $i,B: $i] :
( ( A @ ( B @ exemplifies_property ) )
=> ( ( A @ object )
& ( B @ property ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',exemplifier_is_object_and_exemplified_is_property) ).
thf(17,plain,
! [A: $i,B: $i] :
( ( A @ ( B @ exemplifies_property ) )
=> ( ( A @ object )
& ( B @ property ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(1,conjecture,
! [A: $i] :
( ( A @ property )
=> ( ? [B: $i] :
( ( A @ ( B @ is_the ) )
& ( B @ object ) )
=> ! [B: $i] :
( ( B @ object )
=> ( ( A @ ( B @ is_the ) )
=> ( B @ ( A @ exemplifies_property ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',description_theorem_2) ).
thf(2,negated_conjecture,
~ ! [A: $i] :
( ( A @ property )
=> ( ? [B: $i] :
( ( A @ ( B @ is_the ) )
& ( B @ object ) )
=> ! [B: $i] :
( ( B @ object )
=> ( ( A @ ( B @ is_the ) )
=> ( B @ ( A @ exemplifies_property ) ) ) ) ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(7,plain,
~ ! [A: $i] :
( ( A @ property )
=> ( ? [B: $i] :
( ( A @ ( B @ is_the ) )
& ( B @ object ) )
=> ! [B: $i] :
( ( B @ object )
=> ( ( A @ ( B @ is_the ) )
=> ( B @ ( A @ exemplifies_property ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(3,axiom,
! [A: $i] :
( ( A @ object )
=> ~ ( A @ property ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',objects_are_not_properties) ).
thf(15,plain,
! [A: $i] :
( ( A @ object )
=> ~ ( A @ property ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(29,plain,
$false,
inference(e,[status(thm)],[25,21,17,7,15]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : PHI011+1 : TPTP v9.3.1. Released v7.2.0.
% 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
% 0.14/0.40 % Computer : n015.cluster.edu
% 0.14/0.40 % Model : x86_64 x86_64
% 0.14/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.40 % Memory : 8046.5625MB
% 0.14/0.40 % OS : Linux 6.8.0-71-generic
% 0.14/0.40 % CPULimit : 300
% 0.14/0.40 % WCLimit : 300
% 0.14/0.40 % DateTime : Sat Sep 26 04:42:28 UTC 2026
% 0.14/0.40 % CPUTime :
% 0.14/0.40 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
% 0.85/1.00 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.19/1.17 % [INFO] Parsing done (169ms).
% 1.19/1.18 % [INFO] Running in sequential loop mode.
% 1.71/1.59 % [INFO] eprover registered as external prover.
% 1.90/1.60 % [INFO] Scanning for conjecture ...
% 1.90/1.69 % [INFO] Found a conjecture (or negated_conjecture) and 4 axioms. Running axiom selection ...
% 2.05/1.73 % [INFO] Axiom selection finished. Selected 4 axioms (removed 0 axioms).
% 2.05/1.75 % [INFO] Problem is first-order (TPTP FOF).
% 2.05/1.76 % [INFO] Type checking passed.
% 2.05/1.76 % [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 ...
% 3.34/2.31 % External prover 'e' found a proof!
% 3.34/2.31 % [INFO] Killing All external provers ...
% 3.34/2.31 % Time passed: 1756ms (effective reasoning time: 1118ms)
% 3.34/2.31 % 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)>
% 3.34/2.31 % Axioms used in derivation (4): lemma_1, description_is_property_and_described_is_object, exemplifier_is_object_and_exemplified_is_property, objects_are_not_properties
% 3.34/2.31 % No. of inferences in proof: 12
% 3.34/2.31 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 1756 ms resp. 1118 ms w/o parsing
% 3.34/2.35 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 3.34/2.35 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------