%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : COL059-1 : TPTP v9.3.1. Released v1.0.0.
% 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 : n017.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 06:56:19 AM UTC 2026
% Result : Unsatisfiable 3.07s 2.25s
% Output : Refutation 3.07s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 8
% Syntax : Number of formulae : 17 ( 17 unt; 0 typ; 0 def)
% Number of atoms : 17 ( 16 equ; 0 cnn)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 102 ( 2 ~; 0 |; 0 &; 100 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 3 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 8 ( 6 usr; 6 con; 0-2 aty)
% Number of variables : 16 ( 0 ^; 16 !; 0 ?; 16 :)
% Comments :
%------------------------------------------------------------------------------
thf(response_decl,type,
response: $i > $i > $i ).
thf(l3_decl,type,
l3: $i ).
thf(kestrel_decl,type,
kestrel: $i ).
thf(lark_decl,type,
lark: $i ).
thf(x2_decl,type,
x2: $i ).
thf(l2_decl,type,
l2: $i ).
thf(8,axiom,
( ( lark @ ( l2 @ response ) )
= l3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l3_definition) ).
thf(24,plain,
( ( lark @ ( l2 @ response ) )
= l3 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(1,negated_conjecture,
( ( l3 @ ( l3 @ response ) )
= l3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_l3_not_egocentric) ).
thf(9,plain,
( ( l3 @ ( l3 @ response ) )
= l3 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(3,axiom,
! [B: $i,A: $i] :
( ( B @ ( A @ ( lark @ response ) @ response ) )
= ( B @ ( B @ response ) @ ( A @ response ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lark_exists) ).
thf(13,plain,
! [B: $i,A: $i] :
( ( B @ ( A @ ( lark @ response ) @ response ) )
= ( B @ ( B @ response ) @ ( A @ response ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(5,axiom,
! [B: $i,A: $i] :
( ( B @ ( A @ ( lark @ ( lark @ ( lark @ response ) @ response ) @ response ) @ response ) )
= ( x2 @ ( x2 @ response ) @ ( A @ ( A @ response ) @ ( A @ ( A @ response ) @ response ) @ response ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lark_lemma2) ).
thf(17,plain,
! [B: $i,A: $i] :
( ( B @ ( A @ ( lark @ ( lark @ ( lark @ response ) @ response ) @ response ) @ response ) )
= ( x2 @ ( x2 @ response ) @ ( A @ ( A @ response ) @ ( A @ ( A @ response ) @ response ) @ response ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(7,axiom,
( ( lark @ ( lark @ response ) )
= l2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l2_definition) ).
thf(22,plain,
( ( lark @ ( lark @ response ) )
= l2 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(2,axiom,
! [B: $i,A: $i] :
( ( B @ ( A @ ( kestrel @ response ) @ response ) )
= A ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kestrel_exists) ).
thf(11,plain,
! [B: $i,A: $i] :
( ( B @ ( A @ ( kestrel @ response ) @ response ) )
= A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(6,axiom,
( ( l2 @ ( l2 @ response ) )
!= l2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lark_not_egocentric) ).
thf(19,plain,
( ( l2 @ ( l2 @ response ) )
!= l2 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(4,axiom,
! [B: $i,A: $i] :
( ( B @ ( A @ ( lark @ ( lark @ response ) @ response ) @ response ) )
= ( B @ ( B @ response ) @ ( A @ ( A @ response ) @ response ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lark_lemma1) ).
thf(15,plain,
! [B: $i,A: $i] :
( ( B @ ( A @ ( lark @ ( lark @ response ) @ response ) @ response ) )
= ( B @ ( B @ response ) @ ( A @ ( A @ response ) @ response ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(29,plain,
$false,
inference(e,[status(thm)],[24,9,13,17,22,11,19,15]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : COL059-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.06 % 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
% 0.13/0.38 % Computer : n017.cluster.edu
% 0.13/0.38 % Model : x86_64 x86_64
% 0.13/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.38 % Memory : 8046.5625MB
% 0.13/0.38 % OS : Linux 6.8.0-71-generic
% 0.13/0.38 % CPULimit : 300
% 0.13/0.38 % WCLimit : 300
% 0.13/0.38 % DateTime : Sat Sep 26 23:05:03 UTC 2026
% 0.13/0.38 % CPUTime :
% 0.13/0.38 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
% 0.85/0.98 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.21/1.16 % [INFO] Parsing done (180ms).
% 1.21/1.17 % [INFO] Running in sequential loop mode.
% 1.72/1.57 % [INFO] eprover registered as external prover.
% 1.72/1.58 % [INFO] Scanning for conjecture ...
% 1.90/1.66 % [INFO] Found a conjecture (or negated_conjecture) and 7 axioms. Running axiom selection ...
% 1.90/1.69 % [INFO] Axiom selection finished. Selected 7 axioms (removed 0 axioms).
% 2.05/1.71 % [INFO] Problem is propositional (TPTP CNF).
% 2.05/1.71 % [INFO] Type checking passed.
% 2.05/1.72 % [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 ...
% 3.07/2.25 % External prover 'e' found a proof!
% 3.07/2.25 % [INFO] Killing All external provers ...
% 3.07/2.25 % Time passed: 1719ms (effective reasoning time: 1071ms)
% 3.07/2.25 % Axioms used in derivation (7): lark_lemma2, lark_exists, lark_not_egocentric, lark_lemma1, kestrel_exists, l2_definition, l3_definition
% 3.07/2.25 % No. of inferences in proof: 17
% 3.07/2.25 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p : 1719 ms resp. 1071 ms w/o parsing
% 3.07/2.29 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 3.07/2.29 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------