%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : PUZ149_13 : TPTP v9.3.1. Released v8.2.0.
% 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 : n020.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 08:21:28 AM UTC 2026
% Result : Theorem 3.67s 2.37s
% Output : Refutation 3.99s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 7
% Syntax : Number of formulae : 16 ( 1 unt; 0 typ; 0 def)
% Number of atoms : 64 ( 0 equ; 0 cnn)
% Maximal formula atoms : 5 ( 4 avg)
% Number of connectives : 200 ( 15 ~; 0 |; 14 &; 137 @)
% ( 0 <=>; 34 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 8 avg)
% Number of types : 3 ( 2 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 7 ( 6 usr; 5 con; 0-3 aty)
% Number of variables : 37 ( 0 ^; 26 !; 11 ?; 37 :)
% Comments :
%------------------------------------------------------------------------------
thf('$ki_world_type',type,
'$ki_world': $tType ).
thf('$ki_index_type',type,
'$ki_index': $tType ).
thf('$ki_local_world_decl',type,
'$ki_local_world': '$ki_world' ).
thf('$ki_accessible_decl',type,
'$ki_accessible': '$ki_index' > '$ki_world' > '$ki_world' > $o ).
thf('#idx(make_c)_decl',type,
'#idx(make_c)': '$ki_index' ).
thf('#idx(pour_b)_decl',type,
'#idx(pour_b)': '$ki_index' ).
thf('#idx(pour_a)_decl',type,
'#idx(pour_a)': '$ki_index' ).
thf(acid_decl,type,
acid: '$ki_world' > $o ).
thf(1,conjecture,
( ? [A: '$ki_world'] :
( ? [B: '$ki_world'] :
( ( B @ acid )
& ( B @ ( A @ ( '#idx(pour_b)' @ '$ki_accessible' ) ) ) )
& ( A @ ( '$ki_local_world' @ ( '#idx(pour_a)' @ '$ki_accessible' ) ) ) )
& ? [A: '$ki_world'] :
( ~ ( A @ acid )
& ( A @ ( '$ki_local_world' @ ( '#idx(pour_a)' @ '$ki_accessible' ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',verify) ).
thf(2,negated_conjecture,
~ ( ? [A: '$ki_world'] :
( ? [B: '$ki_world'] :
( ( B @ acid )
& ( B @ ( A @ ( '#idx(pour_b)' @ '$ki_accessible' ) ) ) )
& ( A @ ( '$ki_local_world' @ ( '#idx(pour_a)' @ '$ki_accessible' ) ) ) )
& ? [A: '$ki_world'] :
( ~ ( A @ acid )
& ( A @ ( '$ki_local_world' @ ( '#idx(pour_a)' @ '$ki_accessible' ) ) ) ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(9,plain,
~ ( ? [A: '$ki_world'] :
( ? [B: '$ki_world'] :
( ( B @ acid )
& ( B @ ( A @ ( '#idx(pour_b)' @ '$ki_accessible' ) ) ) )
& ( A @ ( '$ki_local_world' @ ( '#idx(pour_a)' @ '$ki_accessible' ) ) ) )
& ? [A: '$ki_world'] :
( ~ ( A @ acid )
& ( A @ ( '$ki_local_world' @ ( '#idx(pour_a)' @ '$ki_accessible' ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(3,axiom,
( ! [A: '$ki_world'] :
( ( A @ ( '$ki_local_world' @ ( '#idx(pour_a)' @ '$ki_accessible' ) ) )
=> ! [B: '$ki_world'] :
( ( B @ ( A @ ( '#idx(pour_b)' @ '$ki_accessible' ) ) )
=> ( B @ acid ) ) )
=> ! [A: '$ki_world'] :
( ( A @ ( '$ki_local_world' @ ( '#idx(make_c)' @ '$ki_accessible' ) ) )
=> ( A @ acid ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pour_ab_make_axiom_1) ).
thf(11,plain,
( ! [A: '$ki_world'] :
( ( A @ ( '$ki_local_world' @ ( '#idx(pour_a)' @ '$ki_accessible' ) ) )
=> ! [B: '$ki_world'] :
( ( B @ ( A @ ( '#idx(pour_b)' @ '$ki_accessible' ) ) )
=> ( B @ acid ) ) )
=> ! [A: '$ki_world'] :
( ( A @ ( '$ki_local_world' @ ( '#idx(make_c)' @ '$ki_accessible' ) ) )
=> ( A @ acid ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(6,axiom,
( ! [A: '$ki_world'] :
( ( A @ ( '$ki_local_world' @ ( '#idx(pour_b)' @ '$ki_accessible' ) ) )
=> ! [B: '$ki_world'] :
( ( B @ ( A @ ( '#idx(pour_a)' @ '$ki_accessible' ) ) )
=> ~ ( B @ acid ) ) )
=> ! [A: '$ki_world'] :
( ( A @ ( '$ki_local_world' @ ( '#idx(make_c)' @ '$ki_accessible' ) ) )
=> ~ ( A @ acid ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pour_ba_make_axiom_2) ).
thf(26,plain,
( ! [A: '$ki_world'] :
( ( A @ ( '$ki_local_world' @ ( '#idx(pour_b)' @ '$ki_accessible' ) ) )
=> ! [B: '$ki_world'] :
( ( B @ ( A @ ( '#idx(pour_a)' @ '$ki_accessible' ) ) )
=> ~ ( B @ acid ) ) )
=> ! [A: '$ki_world'] :
( ( A @ ( '$ki_local_world' @ ( '#idx(make_c)' @ '$ki_accessible' ) ) )
=> ~ ( A @ acid ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(5,axiom,
( ! [A: '$ki_world'] :
( ( A @ ( '$ki_local_world' @ ( '#idx(pour_b)' @ '$ki_accessible' ) ) )
=> ! [B: '$ki_world'] :
( ( B @ ( A @ ( '#idx(pour_a)' @ '$ki_accessible' ) ) )
=> ( B @ acid ) ) )
=> ! [A: '$ki_world'] :
( ( A @ ( '$ki_local_world' @ ( '#idx(make_c)' @ '$ki_accessible' ) ) )
=> ( A @ acid ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pour_ba_make_axiom_1) ).
thf(21,plain,
( ! [A: '$ki_world'] :
( ( A @ ( '$ki_local_world' @ ( '#idx(pour_b)' @ '$ki_accessible' ) ) )
=> ! [B: '$ki_world'] :
( ( B @ ( A @ ( '#idx(pour_a)' @ '$ki_accessible' ) ) )
=> ( B @ acid ) ) )
=> ! [A: '$ki_world'] :
( ( A @ ( '$ki_local_world' @ ( '#idx(make_c)' @ '$ki_accessible' ) ) )
=> ( A @ acid ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(8,axiom,
? [A: '$ki_world'] :
( ( A @ acid )
& ( A @ ( '$ki_local_world' @ ( '#idx(make_c)' @ '$ki_accessible' ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',make_c_acid) ).
thf(33,plain,
? [A: '$ki_world'] :
( ( A @ acid )
& ( A @ ( '$ki_local_world' @ ( '#idx(make_c)' @ '$ki_accessible' ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(4,axiom,
( ! [A: '$ki_world'] :
( ( A @ ( '$ki_local_world' @ ( '#idx(pour_a)' @ '$ki_accessible' ) ) )
=> ! [B: '$ki_world'] :
( ( B @ ( A @ ( '#idx(pour_b)' @ '$ki_accessible' ) ) )
=> ~ ( B @ acid ) ) )
=> ! [A: '$ki_world'] :
( ( A @ ( '$ki_local_world' @ ( '#idx(make_c)' @ '$ki_accessible' ) ) )
=> ~ ( A @ acid ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pour_ab_make_axiom_2) ).
thf(16,plain,
( ! [A: '$ki_world'] :
( ( A @ ( '$ki_local_world' @ ( '#idx(pour_a)' @ '$ki_accessible' ) ) )
=> ! [B: '$ki_world'] :
( ( B @ ( A @ ( '#idx(pour_b)' @ '$ki_accessible' ) ) )
=> ~ ( B @ acid ) ) )
=> ! [A: '$ki_world'] :
( ( A @ ( '$ki_local_world' @ ( '#idx(make_c)' @ '$ki_accessible' ) ) )
=> ~ ( A @ acid ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(7,axiom,
! [A: '$ki_world'] :
( ( A @ ( '$ki_local_world' @ ( '#idx(pour_a)' @ '$ki_accessible' ) ) )
=> ~ ( A @ acid ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pour_a_acid) ).
thf(31,plain,
! [A: '$ki_world'] :
( ( A @ ( '$ki_local_world' @ ( '#idx(pour_a)' @ '$ki_accessible' ) ) )
=> ~ ( A @ acid ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(37,plain,
$false,
inference(e,[status(thm)],[9,11,26,21,33,16,31]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : PUZ149_13 : TPTP v9.3.1. Released v8.2.0.
% 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
% 0.12/0.40 % Computer : n020.cluster.edu
% 0.12/0.40 % Model : x86_64 x86_64
% 0.12/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.40 % Memory : 8046.5625MB
% 0.12/0.40 % OS : Linux 6.8.0-71-generic
% 0.12/0.40 % CPULimit : 300
% 0.12/0.40 % WCLimit : 300
% 0.12/0.40 % DateTime : Sat Sep 26 05:21:19 UTC 2026
% 0.12/0.40 % CPUTime :
% 0.12/0.40 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
% 0.88/0.99 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.44/1.20 % [INFO] Parsing done (209ms).
% 1.44/1.21 % [INFO] Running in sequential loop mode.
% 2.16/1.62 % [INFO] eprover registered as external prover.
% 2.16/1.62 % [INFO] Scanning for conjecture ...
% 2.37/1.73 % [INFO] Found a conjecture (or negated_conjecture) and 6 axioms. Running axiom selection ...
% 2.37/1.77 % [INFO] Axiom selection finished. Selected 6 axioms (removed 0 axioms).
% 2.37/1.79 % [INFO] Problem is typed first-order (TPTP TFF).
% 2.56/1.80 % [INFO] Type checking passed.
% 2.56/1.81 % [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 ...
% 3.67/2.37 % External prover 'e' found a proof!
% 3.67/2.37 % [INFO] Killing All external provers ...
% 3.67/2.37 % Time passed: 1832ms (effective reasoning time: 1150ms)
% 3.67/2.37 % 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)>
% 3.67/2.37 % Axioms used in derivation (6): pour_ab_make_axiom_2, make_c_acid, pour_ba_make_axiom_2, pour_ab_make_axiom_1, pour_ba_make_axiom_1, pour_a_acid
% 3.67/2.37 % No. of inferences in proof: 16
% 3.67/2.37 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 1832 ms resp. 1150 ms w/o parsing
% 3.99/2.42 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 3.99/2.42 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------