%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : NLP267_17 : 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 : n003.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 08:05:18 AM UTC 2026
% Result : Theorem 2.63s 1.43s
% Output : Refutation 2.63s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 10
% Syntax : Number of formulae : 22 ( 5 unt; 0 typ; 0 def)
% Number of atoms : 57 ( 0 equ; 0 cnn)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 178 ( 10 ~; 0 |; 14 &; 133 @)
% ( 0 <=>; 21 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 6 avg)
% Number of types : 4 ( 2 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 13 ( 12 usr; 9 con; 0-3 aty)
% Number of variables : 25 ( 0 ^; 25 !; 0 ?; 25 :)
% 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' > $o ).
thf('#idx(b_s)_decl',type,
'#idx(b_s)': '$ki_index' ).
thf('#idx(b_u)_decl',type,
'#idx(b_u)': '$ki_index' ).
thf(seventy_decl,type,
seventy: $i ).
thf(ninetyfive_decl,type,
ninetyfive: $i ).
thf(second_decl,type,
second: $i ).
thf(paris_decl,type,
paris: $i ).
thf(first_decl,type,
first: $i ).
thf(price_decl,type,
price: '$ki_world' > $i > $o ).
thf(dest_decl,type,
dest: '$ki_world' > $i > $o ).
thf(class_decl,type,
class: '$ki_world' > $i > $o ).
thf(7,axiom,
! [A: '$ki_world'] :
( ( A @ ( '$ki_local_world' @ ( '#idx(b_s)' @ '$ki_accessible' ) ) )
=> ~ ( ( second @ ( A @ class ) )
& ( first @ ( A @ class ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_3_s) ).
thf(24,plain,
! [A: '$ki_world'] :
( ( A @ ( '$ki_local_world' @ ( '#idx(b_s)' @ '$ki_accessible' ) ) )
=> ~ ( ( second @ ( A @ class ) )
& ( first @ ( A @ class ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(5,axiom,
! [A: '$ki_world'] :
( ( A @ ( '$ki_local_world' @ ( '#idx(b_s)' @ '$ki_accessible' ) ) )
=> ( ( ( first @ ( A @ class ) )
& ( paris @ ( A @ dest ) ) )
=> ( ninetyfive @ ( A @ price ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1) ).
thf(20,plain,
! [A: '$ki_world'] :
( ( A @ ( '$ki_local_world' @ ( '#idx(b_s)' @ '$ki_accessible' ) ) )
=> ( ( ( first @ ( A @ class ) )
& ( paris @ ( A @ dest ) ) )
=> ( ninetyfive @ ( A @ price ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(9,axiom,
! [A: '$ki_world'] :
( ( A @ ( '$ki_local_world' @ ( '#idx(b_s)' @ '$ki_accessible' ) ) )
=> ~ ( ( ninetyfive @ ( A @ price ) )
& ( seventy @ ( A @ price ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_4_s) ).
thf(28,plain,
! [A: '$ki_world'] :
( ( A @ ( '$ki_local_world' @ ( '#idx(b_s)' @ '$ki_accessible' ) ) )
=> ~ ( ( ninetyfive @ ( A @ price ) )
& ( seventy @ ( A @ price ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(11,axiom,
! [A: '$ki_world'] :
( ( A @ ( '$ki_local_world' @ ( '#idx(b_s)' @ '$ki_accessible' ) ) )
=> ( ( second @ ( A @ class ) )
& ( paris @ ( A @ dest ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_5) ).
thf(32,plain,
! [A: '$ki_world'] :
( ( A @ ( '$ki_local_world' @ ( '#idx(b_s)' @ '$ki_accessible' ) ) )
=> ( ( second @ ( A @ class ) )
& ( paris @ ( A @ dest ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).
thf(6,axiom,
! [A: '$ki_world'] :
( ( A @ ( '$ki_local_world' @ ( '#idx(b_s)' @ '$ki_accessible' ) ) )
=> ( ( ( second @ ( A @ class ) )
& ( paris @ ( A @ dest ) ) )
=> ( seventy @ ( A @ price ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).
thf(22,plain,
! [A: '$ki_world'] :
( ( A @ ( '$ki_local_world' @ ( '#idx(b_s)' @ '$ki_accessible' ) ) )
=> ( ( ( second @ ( A @ class ) )
& ( paris @ ( A @ dest ) ) )
=> ( seventy @ ( A @ price ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(1,conjecture,
! [A: '$ki_world'] :
( ( A @ ( '$ki_local_world' @ ( '#idx(b_s)' @ '$ki_accessible' ) ) )
=> ( seventy @ ( A @ price ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',verify) ).
thf(2,negated_conjecture,
~ ! [A: '$ki_world'] :
( ( A @ ( '$ki_local_world' @ ( '#idx(b_s)' @ '$ki_accessible' ) ) )
=> ( seventy @ ( A @ price ) ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(12,plain,
~ ! [A: '$ki_world'] :
( ( A @ ( '$ki_local_world' @ ( '#idx(b_s)' @ '$ki_accessible' ) ) )
=> ( seventy @ ( A @ price ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(4,axiom,
! [A: '$ki_world',B: '$ki_world'] : ( B @ ( A @ ( '#idx(b_u)' @ '$ki_accessible' ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','mrel_universal_#idx(b_u)') ).
thf(18,plain,
! [A: '$ki_world',B: '$ki_world'] : ( B @ ( A @ ( '#idx(b_u)' @ '$ki_accessible' ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(3,axiom,
! [A: '$ki_world',B: '$ki_world'] : ( B @ ( A @ ( '#idx(b_s)' @ '$ki_accessible' ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','mrel_universal_#idx(b_s)') ).
thf(16,plain,
! [A: '$ki_world',B: '$ki_world'] : ( B @ ( A @ ( '#idx(b_s)' @ '$ki_accessible' ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(8,axiom,
! [A: '$ki_world'] :
( ( A @ ( '$ki_local_world' @ ( '#idx(b_u)' @ '$ki_accessible' ) ) )
=> ~ ( ( second @ ( A @ class ) )
& ( first @ ( A @ class ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_3_u) ).
thf(26,plain,
! [A: '$ki_world'] :
( ( A @ ( '$ki_local_world' @ ( '#idx(b_u)' @ '$ki_accessible' ) ) )
=> ~ ( ( second @ ( A @ class ) )
& ( first @ ( A @ class ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(10,axiom,
! [A: '$ki_world'] :
( ( A @ ( '$ki_local_world' @ ( '#idx(b_u)' @ '$ki_accessible' ) ) )
=> ~ ( ( ninetyfive @ ( A @ price ) )
& ( seventy @ ( A @ price ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_4_u) ).
thf(30,plain,
! [A: '$ki_world'] :
( ( A @ ( '$ki_local_world' @ ( '#idx(b_u)' @ '$ki_accessible' ) ) )
=> ~ ( ( ninetyfive @ ( A @ price ) )
& ( seventy @ ( A @ price ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).
thf(37,plain,
$false,
inference(e,[status(thm)],[24,20,28,32,22,12,18,16,26,30]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : NLP267_17 : TPTP v9.3.1. Released v8.2.0.
% 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
% 0.12/0.39 % Computer : n003.cluster.edu
% 0.12/0.39 % Model : x86_64 x86_64
% 0.12/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.39 % Memory : 8046.5625MB
% 0.12/0.39 % OS : Linux 6.8.0-71-generic
% 0.12/0.39 % CPULimit : 300
% 0.12/0.39 % WCLimit : 300
% 0.12/0.39 % DateTime : Sat Sep 26 01:53:10 UTC 2026
% 0.12/0.39 % CPUTime :
% 0.12/0.39 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
% 0.60/0.69 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 0.98/0.80 % [INFO] Parsing done (109ms).
% 0.98/0.81 % [INFO] Running in sequential loop mode.
% 1.22/1.00 % [INFO] eprover registered as external prover.
% 1.22/1.01 % [INFO] Scanning for conjecture ...
% 1.52/1.06 % [INFO] Found a conjecture (or negated_conjecture) and 9 axioms. Running axiom selection ...
% 1.52/1.08 % [INFO] Axiom selection finished. Selected 9 axioms (removed 0 axioms).
% 1.52/1.10 % [INFO] Problem is typed first-order (TPTP TFF).
% 1.52/1.10 % [INFO] Type checking passed.
% 1.52/1.10 % [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 ...
% 2.63/1.43 % External prover 'e' found a proof!
% 2.63/1.43 % [INFO] Killing All external provers ...
% 2.63/1.43 % Time passed: 954ms (effective reasoning time: 623ms)
% 2.63/1.43 % 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)>
% 2.63/1.43 % Axioms used in derivation (9): axiom_3_s, axiom_2, axiom_1, axiom_4_s, axiom_5, mrel_universal_#idx(b_u), axiom_3_u, mrel_universal_#idx(b_s), axiom_4_u
% 2.63/1.43 % No. of inferences in proof: 22
% 2.63/1.43 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 954 ms resp. 623 ms w/o parsing
% 2.63/1.46 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 2.63/1.46 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------