%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : PHI014+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 4.89s 7.94s
% Output : Refutation 4.89s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 6
% Syntax : Number of formulae : 14 ( 6 unt; 0 typ; 0 def)
% Number of atoms : 53 ( 0 equ; 0 cnn)
% Maximal formula atoms : 11 ( 3 avg)
% Number of connectives : 136 ( 7 ~; 0 |; 20 &; 90 @)
% ( 1 <=>; 18 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 7 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 11 ( 10 usr; 6 con; 0-3 aty)
% Number of variables : 19 ( 0 ^; 12 !; 7 ?; 19 :)
% Comments :
%------------------------------------------------------------------------------
thf(exemplifies_property_decl,type,
exemplifies_property: $i > $i > $o ).
thf(existence_decl,type,
existence: $i ).
thf(god_decl,type,
god: $i ).
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(none_greater_decl,type,
none_greater: $i ).
thf(conceivable_decl,type,
conceivable: $i ).
thf(exemplifies_relation_decl,type,
exemplifies_relation: $i > $i > $i > $o ).
thf(greater_than_decl,type,
greater_than: $i ).
thf(3,axiom,
! [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(9,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)],[3]) ).
thf(4,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(11,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ is_the ) )
=> ( ( A @ object )
& ( B @ property ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(1,conjecture,
god @ ( existence @ exemplifies_property ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',god_exists) ).
thf(2,negated_conjecture,
~ ( god @ ( existence @ exemplifies_property ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(8,plain,
~ ( god @ ( existence @ exemplifies_property ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(5,axiom,
! [A: $i] :
( ( A @ object )
=> ( ( A @ ( none_greater @ exemplifies_property ) )
<=> ( ~ ? [B: $i] :
( ( B @ ( conceivable @ exemplifies_property ) )
& ( A @ ( B @ ( greater_than @ exemplifies_relation ) ) )
& ( B @ object ) )
& ( A @ ( conceivable @ exemplifies_property ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',definition_none_greater) ).
thf(15,plain,
! [A: $i] :
( ( A @ object )
=> ( ( ( ~ ? [B: $i] :
( ( B @ ( conceivable @ exemplifies_property ) )
& ( A @ ( B @ ( greater_than @ exemplifies_relation ) ) )
& ( B @ object ) )
& ( A @ ( conceivable @ exemplifies_property ) ) )
=> ( A @ ( none_greater @ exemplifies_property ) ) )
& ( ( A @ ( none_greater @ exemplifies_property ) )
=> ( ~ ? [B: $i] :
( ( B @ ( conceivable @ exemplifies_property ) )
& ( A @ ( B @ ( greater_than @ exemplifies_relation ) ) )
& ( B @ object ) )
& ( A @ ( conceivable @ exemplifies_property ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(6,axiom,
! [A: $i] :
( ( A @ object )
=> ( ( ~ ( A @ ( existence @ exemplifies_property ) )
& ( none_greater @ ( A @ is_the ) ) )
=> ? [B: $i] :
( ( B @ ( conceivable @ exemplifies_property ) )
& ( A @ ( B @ ( greater_than @ exemplifies_relation ) ) )
& ( B @ object ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',premise_2) ).
thf(22,plain,
! [A: $i] :
( ( A @ object )
=> ( ( ~ ( A @ ( existence @ exemplifies_property ) )
& ( none_greater @ ( A @ is_the ) ) )
=> ? [B: $i] :
( ( B @ ( conceivable @ exemplifies_property ) )
& ( A @ ( B @ ( greater_than @ exemplifies_relation ) ) )
& ( B @ object ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(7,axiom,
none_greater @ ( god @ is_the ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',definition_god) ).
thf(27,plain,
none_greater @ ( god @ is_the ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(28,plain,
$false,
inference(e,[status(thm)],[9,11,8,15,22,27]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : PHI014+1 : TPTP v9.3.1. Released v7.2.0.
% 0.00/0.08 % 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
% 0.16/5.44 % Computer : n015.cluster.edu
% 0.16/5.44 % Model : x86_64 x86_64
% 0.16/5.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/5.44 % Memory : 8046.5625MB
% 0.16/5.44 % OS : Linux 6.8.0-71-generic
% 0.16/5.44 % CPULimit : 300
% 0.16/5.44 % WCLimit : 300
% 0.16/5.44 % DateTime : Sat Sep 26 04:43:05 UTC 2026
% 0.16/5.44 % CPUTime :
% 0.16/5.44 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
% 1.10/6.12 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.63/6.32 % [INFO] Parsing done (199ms).
% 1.63/6.35 % [INFO] Running in sequential loop mode.
% 2.58/6.93 % [INFO] eprover registered as external prover.
% 2.58/6.94 % [INFO] Scanning for conjecture ...
% 2.85/7.07 % [INFO] Found a conjecture (or negated_conjecture) and 5 axioms. Running axiom selection ...
% 2.85/7.11 % [INFO] Axiom selection finished. Selected 5 axioms (removed 0 axioms).
% 3.02/7.15 % [INFO] Problem is first-order (TPTP FOF).
% 3.02/7.16 % [INFO] Type checking passed.
% 3.02/7.17 % [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 ...
% 4.89/7.94 % External prover 'e' found a proof!
% 4.89/7.94 % [INFO] Killing All external provers ...
% 4.89/7.94 % Time passed: 2290ms (effective reasoning time: 1583ms)
% 4.89/7.94 % 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)>
% 4.89/7.94 % Axioms used in derivation (5): premise_2, description_theorem_2, definition_god, definition_none_greater, description_is_property_and_described_is_object
% 4.89/7.94 % No. of inferences in proof: 14
% 4.89/7.94 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 2290 ms resp. 1583 ms w/o parsing
% 4.89/8.00 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 4.89/8.00 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------