%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : PHI009+1 : TPTP v9.3.1. Released v7.2.0.
% 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 : n010.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 3.60s 13.06s
% Output : Refutation 3.60s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 2
% Syntax : Number of formulae : 6 ( 1 unt; 0 typ; 0 def)
% Number of atoms : 55 ( 6 equ; 0 cnn)
% Maximal formula atoms : 19 ( 9 avg)
% Number of connectives : 123 ( 2 ~; 0 |; 26 &; 72 @)
% ( 1 <=>; 22 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 12 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 : 24 ( 0 ^; 15 !; 9 ?; 24 :)
% Comments :
%------------------------------------------------------------------------------
thf(property_decl,type,
property: $i > $o ).
thf(object_decl,type,
object: $i > $o ).
thf(exemplifies_property_decl,type,
exemplifies_property: $i > $i > $o ).
thf(is_the_decl,type,
is_the: $i > $i > $o ).
thf(1,conjecture,
! [A: $i] :
( ( A @ property )
=> ( ? [B: $i] :
( ! [C: $i] :
( ( C @ object )
=> ( ( C @ ( A @ exemplifies_property ) )
=> ( C = B ) ) )
& ( B @ ( A @ exemplifies_property ) )
& ( B @ object ) )
=> ? [B: $i] :
( ( A @ ( B @ is_the ) )
& ( B @ object ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',description_theorem_1) ).
thf(2,negated_conjecture,
~ ! [A: $i] :
( ( A @ property )
=> ( ? [B: $i] :
( ! [C: $i] :
( ( C @ object )
=> ( ( C @ ( A @ exemplifies_property ) )
=> ( C = B ) ) )
& ( B @ ( A @ exemplifies_property ) )
& ( B @ object ) )
=> ? [B: $i] :
( ( A @ ( B @ is_the ) )
& ( B @ object ) ) ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(4,plain,
~ ! [A: $i] :
( ( A @ property )
=> ( ? [B: $i] :
( ! [C: $i] :
( ( C @ object )
=> ( ( C @ ( A @ exemplifies_property ) )
=> ( C = B ) ) )
& ( B @ ( A @ exemplifies_property ) )
& ( B @ object ) )
=> ? [B: $i] :
( ( A @ ( B @ is_the ) )
& ( B @ object ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(3,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( C @ object )
& ( B @ property )
& ( A @ property ) )
=> ( ( ( C @ ( B @ exemplifies_property ) )
& ( A @ ( C @ is_the ) ) )
<=> ? [D: $i] :
( ( D @ ( B @ exemplifies_property ) )
& ! [E: $i] :
( ( E @ object )
=> ( ( E @ ( A @ exemplifies_property ) )
=> ( E = D ) ) )
& ( D @ ( A @ exemplifies_property ) )
& ( D @ object ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',description_axiom_schema_instance) ).
thf(13,plain,
! [A: $i,B: $i,C: $i] :
( ( ( C @ object )
& ( B @ property )
& ( A @ property ) )
=> ( ( ? [D: $i] :
( ( D @ ( B @ exemplifies_property ) )
& ! [E: $i] :
( ( E @ object )
=> ( ( E @ ( A @ exemplifies_property ) )
=> ( E = D ) ) )
& ( D @ ( A @ exemplifies_property ) )
& ( D @ object ) )
=> ( ( C @ ( B @ exemplifies_property ) )
& ( A @ ( C @ is_the ) ) ) )
& ( ( ( C @ ( B @ exemplifies_property ) )
& ( A @ ( C @ is_the ) ) )
=> ? [D: $i] :
( ( D @ ( B @ exemplifies_property ) )
& ! [E: $i] :
( ( E @ object )
=> ( ( E @ ( A @ exemplifies_property ) )
=> ( E = D ) ) )
& ( D @ ( A @ exemplifies_property ) )
& ( D @ object ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(34,plain,
$false,
inference(e,[status(thm)],[4,13]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : PHI009+1 : TPTP v9.3.1. Released v7.2.0.
% 0.00/0.07 % 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
% 0.12/11.03 % Computer : n010.cluster.edu
% 0.12/11.03 % Model : x86_64 x86_64
% 0.12/11.03 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/11.03 % Memory : 8046.5625MB
% 0.12/11.03 % OS : Linux 6.8.0-71-generic
% 0.12/11.03 % CPULimit : 300
% 0.12/11.03 % WCLimit : 300
% 0.12/11.03 % DateTime : Sat Sep 26 04:39:57 UTC 2026
% 0.12/11.03 % CPUTime :
% 0.12/11.03 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
% 0.17/11.62 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 0.17/11.81 % [INFO] Parsing done (185ms).
% 0.17/11.83 % [INFO] Running in sequential loop mode.
% 1.92/12.22 % [INFO] eprover registered as external prover.
% 1.92/12.23 % [INFO] Scanning for conjecture ...
% 2.10/12.32 % [INFO] Found a conjecture (or negated_conjecture) and 1 axioms. Running axiom selection ...
% 2.10/12.36 % [INFO] Axiom selection finished. Selected 1 axioms (removed 0 axioms).
% 2.10/12.38 % [INFO] Problem is first-order (TPTP FOF).
% 2.10/12.38 % [INFO] Type checking passed.
% 2.10/12.39 % [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 ...
% 3.60/13.05 % External prover 'e' found a proof!
% 3.60/13.05 % [INFO] Killing All external provers ...
% 3.60/13.05 % Time passed: 1876ms (effective reasoning time: 1221ms)
% 3.60/13.05 % 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)>
% 3.60/13.05 % Axioms used in derivation (1): description_axiom_schema_instance
% 3.60/13.05 % No. of inferences in proof: 6
% 3.60/13.06 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 1876 ms resp. 1221 ms w/o parsing
% 3.60/13.10 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 3.60/13.10 % [INFO] Killing All external provers ...
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