%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : COL052-2 : TPTP v9.3.1. Released v1.0.0.
% 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 06:56:18 AM UTC 2026
% Result : Unsatisfiable 3.32s 2.27s
% Output : Refutation 3.66s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 6
% Syntax : Number of formulae : 13 ( 9 unt; 0 typ; 0 def)
% Number of atoms : 17 ( 8 equ; 0 cnn)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 60 ( 6 ~; 4 |; 0 &; 50 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 10 ( 8 usr; 4 con; 0-2 aty)
% Number of variables : 14 ( 0 ^; 14 !; 0 ?; 14 :)
% Comments :
%------------------------------------------------------------------------------
thf(agreeable_decl,type,
agreeable: $i > $o ).
thf(a_decl,type,
a: $i ).
thf(response_decl,type,
response: $i > $i > $i ).
thf(compose_decl,type,
compose: $i > $i > $i ).
thf(common_bird_decl,type,
common_bird: $i > $i ).
thf(compatible_decl,type,
compatible: $i > $i ).
thf(c_decl,type,
c: $i ).
thf(b_decl,type,
b: $i ).
thf(4,axiom,
! [B: $i,A: $i] :
( ( A @ agreeable )
| ( ( B @ ( A @ response ) )
!= ( B @ ( A @ compatible @ response ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',agreeable2) ).
thf(14,plain,
! [B: $i,A: $i] :
( ( A @ agreeable )
| ( ( B @ ( A @ response ) )
!= ( B @ ( A @ compatible @ response ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(2,axiom,
! [C: $i,B: $i,A: $i] :
( ( C @ ( B @ ( A @ compose ) @ response ) )
= ( C @ ( B @ response ) @ ( A @ response ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',composer_exists) ).
thf(9,plain,
! [C: $i,B: $i,A: $i] :
( ( C @ ( B @ ( A @ compose ) @ response ) )
= ( C @ ( B @ response ) @ ( A @ response ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(5,axiom,
c @ agreeable,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c_is_agreeable) ).
thf(17,plain,
c @ agreeable,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(1,negated_conjecture,
~ ( a @ agreeable ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_a_is_agreeable) ).
thf(7,plain,
~ ( a @ agreeable ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(6,axiom,
( c
= ( b @ ( a @ compose ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c_composes_a_with_b) ).
thf(18,plain,
( c
= ( b @ ( a @ compose ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(3,axiom,
! [B: $i,A: $i] :
( ( ( B @ common_bird @ ( A @ response ) )
= ( B @ common_bird @ ( B @ response ) ) )
| ~ ( A @ agreeable ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',agreeable1) ).
thf(11,plain,
! [B: $i,A: $i] :
( ( ( B @ common_bird @ ( A @ response ) )
= ( B @ common_bird @ ( B @ response ) ) )
| ~ ( A @ agreeable ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(23,plain,
$false,
inference(e,[status(thm)],[14,9,17,7,18,11]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : COL052-2 : TPTP v9.3.1. Released v1.0.0.
% 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
% 0.14/0.39 % Computer : n010.cluster.edu
% 0.14/0.39 % Model : x86_64 x86_64
% 0.14/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.39 % Memory : 8046.5625MB
% 0.14/0.39 % OS : Linux 6.8.0-71-generic
% 0.14/0.39 % CPULimit : 300
% 0.14/0.39 % WCLimit : 300
% 0.14/0.39 % DateTime : Sat Sep 26 23:09:33 UTC 2026
% 0.14/0.39 % CPUTime :
% 0.14/0.39 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
% 0.87/0.97 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.30/1.16 % [INFO] Parsing done (183ms).
% 1.30/1.18 % [INFO] Running in sequential loop mode.
% 1.87/1.58 % [INFO] eprover registered as external prover.
% 1.87/1.59 % [INFO] Scanning for conjecture ...
% 2.07/1.67 % [INFO] Found a conjecture (or negated_conjecture) and 5 axioms. Running axiom selection ...
% 2.25/1.70 % [INFO] Axiom selection finished. Selected 5 axioms (removed 0 axioms).
% 2.25/1.72 % [INFO] Problem is propositional (TPTP CNF).
% 2.25/1.72 % [INFO] Type checking passed.
% 2.25/1.73 % [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 ...
% 3.32/2.26 % External prover 'e' found a proof!
% 3.32/2.26 % [INFO] Killing All external provers ...
% 3.32/2.27 % Time passed: 1726ms (effective reasoning time: 1083ms)
% 3.32/2.27 % Axioms used in derivation (5): c_composes_a_with_b, agreeable1, c_is_agreeable, composer_exists, agreeable2
% 3.32/2.27 % No. of inferences in proof: 13
% 3.32/2.27 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p : 1726 ms resp. 1083 ms w/o parsing
% 3.66/2.31 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 3.66/2.31 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------