%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : HWV052-1.002.001 : 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 : n005.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 07:32:31 AM UTC 2026
% Result : Unsatisfiable 4.56s 3.00s
% Output : Refutation 4.89s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 10
% Syntax : Number of formulae : 21 ( 19 unt; 0 typ; 0 def)
% Number of atoms : 23 ( 22 equ; 0 cnn)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 98 ( 2 ~; 2 |; 0 &; 94 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 3 ( 3 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 8 ( 6 usr; 3 con; 0-3 aty)
% Number of variables : 36 ( 0 ^; 36 !; 0 ?; 36 :)
% 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 > $i ).
thf(pack1_decl,type,
pack1: $i > $i > $i ).
thf(unpack2_decl,type,
unpack2: $i > $i > $i > $i ).
thf(7,axiom,
! [B: $i,A: $i] :
( ( B @ ( A @ pack1 ) @ ( B @ ( A @ unpack2 ) ) )
= B ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unpack2) ).
thf(25,plain,
! [B: $i,A: $i] :
( ( B @ ( A @ pack1 ) @ ( B @ ( A @ unpack2 ) ) )
= B ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(2,axiom,
! [A: $i] :
( ( A @ inv )
!= A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',bit_inverse) ).
thf(14,plain,
! [A: $i] :
( ( A @ inv )
!= A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(9,axiom,
! [B: $i,A: $i] :
( ( B @ ( A @ pack1 ) @ ( B @ inv @ ( A @ unpack2 ) ) )
= B ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unpack2_05) ).
thf(29,plain,
! [B: $i,A: $i] :
( ( B @ ( A @ pack1 ) @ ( B @ inv @ ( A @ unpack2 ) ) )
= B ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(5,axiom,
! [B: $i,A: $i] :
( ( B @ ( A @ pack1 ) @ ( B @ inv @ ( A @ unpack1 ) ) )
= A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unpack1_02) ).
thf(21,plain,
! [B: $i,A: $i] :
( ( B @ ( A @ pack1 ) @ ( B @ inv @ ( A @ unpack1 ) ) )
= A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(3,axiom,
! [B: $i,A: $i] :
( ( B @ ( A @ pack1 ) @ ( B @ ( A @ unpack1 ) ) )
= A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unpack1) ).
thf(17,plain,
! [B: $i,A: $i] :
( ( B @ ( A @ pack1 ) @ ( B @ ( A @ unpack1 ) ) )
= A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(8,axiom,
! [B: $i,A: $i] :
( ( B @ ( A @ pack1 ) @ ( B @ ( A @ inv @ unpack2 ) ) )
= B ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unpack2_04) ).
thf(27,plain,
! [B: $i,A: $i] :
( ( B @ ( A @ pack1 ) @ ( B @ ( A @ inv @ unpack2 ) ) )
= B ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(10,axiom,
! [B: $i,A: $i] :
( ( B @ ( A @ pack1 ) @ inv @ ( B @ ( A @ unpack2 ) ) )
= B ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unpack2_06) ).
thf(31,plain,
! [B: $i,A: $i] :
( ( B @ ( A @ pack1 ) @ inv @ ( B @ ( A @ unpack2 ) ) )
= B ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).
thf(1,axiom,
! [A: $i] :
( ( A = i )
| ( A = o ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',bit_domain) ).
thf(11,plain,
! [A: $i] :
( ( A = i )
| ( A = o ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(6,axiom,
! [B: $i,A: $i] :
( ( B @ ( A @ pack1 ) @ inv @ ( B @ ( A @ unpack1 ) ) )
= A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unpack1_03) ).
thf(23,plain,
! [B: $i,A: $i] :
( ( B @ ( A @ pack1 ) @ inv @ ( B @ ( A @ unpack1 ) ) )
= A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(4,axiom,
! [B: $i,A: $i] :
( ( B @ ( A @ pack1 ) @ ( B @ ( A @ inv @ unpack1 ) ) )
= A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unpack1_01) ).
thf(19,plain,
! [B: $i,A: $i] :
( ( B @ ( A @ pack1 ) @ ( B @ ( A @ inv @ unpack1 ) ) )
= A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(33,plain,
$false,
inference(e,[status(thm)],[25,14,29,21,17,27,31,11,23,19]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : HWV052-1.002.001 : 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
% 0.13/0.40 % Computer : n005.cluster.edu
% 0.13/0.40 % Model : x86_64 x86_64
% 0.13/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.40 % Memory : 8046.5625MB
% 0.13/0.40 % OS : Linux 6.8.0-71-generic
% 0.13/0.40 % CPULimit : 300
% 0.13/0.40 % WCLimit : 300
% 0.13/0.41 % DateTime : Fri Sep 25 16:20:48 UTC 2026
% 0.13/0.41 % CPUTime :
% 0.13/0.41 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
% 1.33/1.23 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.88/1.50 % [INFO] Parsing done (270ms).
% 1.88/1.53 % [INFO] Running in sequential loop mode.
% 2.67/2.15 % [INFO] eprover registered as external prover.
% 2.90/2.16 % [INFO] Scanning for conjecture ...
% 2.98/2.23 % [INFO] 10 axioms and no conjecture found.
% 3.14/2.31 % [INFO] Problem is propositional (TPTP CNF).
% 3.14/2.32 % [INFO] Type checking passed.
% 3.14/2.32 % [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 ...
% 3.32/2.44 % [INFO] [Domain constraints] Detected constraint on $i
% 3.32/2.45 % [INFO] [Domain constraints] dom($i) ⊆ {o,i}
% 4.56/2.99 % External prover 'e' found a proof!
% 4.56/2.99 % [INFO] Killing All external provers ...
% 4.56/2.99 % Time passed: 2403ms (effective reasoning time: 1459ms)
% 4.56/3.00 % Axioms used in derivation (10): unpack2_04, bit_inverse, unpack2, unpack2_06, unpack2_05, unpack1, bit_domain, unpack1_02, unpack1_03, unpack1_01
% 4.56/3.00 % No. of inferences in proof: 21
% 4.56/3.00 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p : 2403 ms resp. 1459 ms w/o parsing
% 4.89/3.07 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 4.89/3.07 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------