%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : HWV052-1.001.001 : TPTP v9.3.1. Released v4.1.0.
% 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 : n016.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 07:32:30 AM UTC 2026
% Result : Unsatisfiable 3.24s 2.25s
% Output : Refutation 3.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 5
% Syntax : Number of formulae : 11 ( 9 unt; 0 typ; 0 def)
% Number of atoms : 13 ( 12 equ; 0 cnn)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 28 ( 2 ~; 2 |; 0 &; 24 @)
% ( 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 : 7 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 10 ( 0 ^; 10 !; 0 ?; 10 :)
% Comments :
%------------------------------------------------------------------------------
thf(o_decl,type,
o: $i ).
thf(i_decl,type,
i: $i ).
thf(inv_decl,type,
inv: $i > $i ).
thf(unpack1_decl,type,
unpack1: $i > $i > $i ).
thf(pack1_decl,type,
pack1: $i > $i ).
thf(4,axiom,
! [A: $i] :
( ( A @ pack1 @ ( A @ inv @ unpack1 ) )
= A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unpack1_01) ).
thf(14,plain,
! [A: $i] :
( ( A @ pack1 @ ( A @ inv @ unpack1 ) )
= A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(1,axiom,
! [A: $i] :
( ( A = i )
| ( A = o ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',bit_domain) ).
thf(6,plain,
! [A: $i] :
( ( A = i )
| ( A = o ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(2,axiom,
! [A: $i] :
( ( A @ inv )
!= A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',bit_inverse) ).
thf(9,plain,
! [A: $i] :
( ( A @ inv )
!= A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(3,axiom,
! [A: $i] :
( ( A @ pack1 @ ( A @ unpack1 ) )
= A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unpack1) ).
thf(12,plain,
! [A: $i] :
( ( A @ pack1 @ ( A @ unpack1 ) )
= A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(5,axiom,
! [A: $i] :
( ( A @ pack1 @ inv @ ( A @ unpack1 ) )
= A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unpack1_02) ).
thf(16,plain,
! [A: $i] :
( ( A @ pack1 @ inv @ ( A @ unpack1 ) )
= A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(18,plain,
$false,
inference(e,[status(thm)],[14,6,9,12,16]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : HWV052-1.001.001 : TPTP v9.3.1. Released v4.1.0.
% 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
% 0.15/0.41 % Computer : n016.cluster.edu
% 0.15/0.41 % Model : x86_64 x86_64
% 0.15/0.41 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.41 % Memory : 8046.5625MB
% 0.15/0.41 % OS : Linux 6.8.0-71-generic
% 0.15/0.41 % CPULimit : 300
% 0.15/0.41 % WCLimit : 300
% 0.15/0.41 % DateTime : Fri Sep 25 16:25:29 UTC 2026
% 0.15/0.41 % CPUTime :
% 0.15/0.41 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
% 0.89/1.01 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.28/1.18 % [INFO] Parsing done (172ms).
% 1.41/1.20 % [INFO] Running in sequential loop mode.
% 2.01/1.60 % [INFO] eprover registered as external prover.
% 2.01/1.61 % [INFO] Scanning for conjecture ...
% 2.01/1.66 % [INFO] 5 axioms and no conjecture found.
% 2.20/1.71 % [INFO] Problem is propositional (TPTP CNF).
% 2.20/1.71 % [INFO] Type checking passed.
% 2.20/1.72 % [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 ...
% 2.35/1.88 % [INFO] [Domain constraints] Detected constraint on $i
% 2.35/1.88 % [INFO] [Domain constraints] dom($i) ⊆ {o,i}
% 3.24/2.25 % External prover 'e' found a proof!
% 3.24/2.25 % [INFO] Killing All external provers ...
% 3.24/2.25 % Time passed: 1692ms (effective reasoning time: 1046ms)
% 3.24/2.25 % Axioms used in derivation (5): bit_inverse, unpack1_01, unpack1, bit_domain, unpack1_02
% 3.24/2.25 % No. of inferences in proof: 11
% 3.24/2.25 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p : 1692 ms resp. 1046 ms w/o parsing
% 3.24/2.29 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 3.24/2.29 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------