TSTP Solution File: HWV052-1.002.002 by Leo-III---1.7.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Leo-III---1.7.12
% Problem : HWV052-1.002.002 : TPTP v8.2.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n003.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Mon May 20 21:39:07 EDT 2024
% Result : Unsatisfiable 2.79s 1.96s
% Output : Refutation 3.04s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 19
% Syntax : Number of formulae : 32 ( 23 unt; 7 typ; 0 def)
% Number of atoms : 27 ( 26 equ; 0 cnn)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 182 ( 2 ~; 2 |; 0 &; 178 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 3 ( 3 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 13 ( 13 >; 0 *; 0 +; 0 <<)
% Number of symbols : 9 ( 7 usr; 3 con; 0-4 aty)
% Number of variables : 44 ( 0 ^ 44 !; 0 ?; 44 :)
% Comments :
%------------------------------------------------------------------------------
thf(o_type,type,
o: $i ).
thf(i_type,type,
i: $i ).
thf(inv_type,type,
inv: $i > $i ).
thf(unpack1_type,type,
unpack1: $i > $i > $i > $i > $i ).
thf(pack1_type,type,
pack1: $i > $i > $i ).
thf(pack2_type,type,
pack2: $i > $i > $i ).
thf(unpack2_type,type,
unpack2: $i > $i > $i > $i > $i ).
thf(8,axiom,
! [B: $i,A: $i] :
( ( unpack2 @ A @ B @ ( pack1 @ A @ B ) @ ( pack2 @ A @ B ) )
= B ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unpack2) ).
thf(29,plain,
! [B: $i,A: $i] :
( ( unpack2 @ A @ B @ ( pack1 @ A @ B ) @ ( pack2 @ A @ B ) )
= B ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(1,axiom,
! [A: $i] :
( ( A = o )
| ( A = i ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',bit_domain) ).
thf(13,plain,
! [A: $i] :
( ( A = o )
| ( A = i ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(7,axiom,
! [B: $i,A: $i] :
( ( unpack1 @ A @ B @ ( pack1 @ A @ B ) @ ( inv @ ( pack2 @ A @ B ) ) )
= A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unpack1_04) ).
thf(27,plain,
! [B: $i,A: $i] :
( ( unpack1 @ A @ B @ ( pack1 @ A @ B ) @ ( inv @ ( pack2 @ A @ B ) ) )
= A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(11,axiom,
! [B: $i,A: $i] :
( ( unpack2 @ A @ B @ ( inv @ ( pack1 @ A @ B ) ) @ ( pack2 @ A @ B ) )
= B ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unpack2_07) ).
thf(35,plain,
! [B: $i,A: $i] :
( ( unpack2 @ A @ B @ ( inv @ ( pack1 @ A @ B ) ) @ ( pack2 @ A @ B ) )
= B ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).
thf(5,axiom,
! [B: $i,A: $i] :
( ( unpack1 @ A @ ( inv @ B ) @ ( pack1 @ A @ B ) @ ( pack2 @ A @ B ) )
= A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unpack1_02) ).
thf(23,plain,
! [B: $i,A: $i] :
( ( unpack1 @ A @ ( inv @ B ) @ ( pack1 @ A @ B ) @ ( pack2 @ A @ B ) )
= A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(3,axiom,
! [B: $i,A: $i] :
( ( unpack1 @ A @ B @ ( pack1 @ A @ B ) @ ( pack2 @ A @ B ) )
= A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unpack1) ).
thf(19,plain,
! [B: $i,A: $i] :
( ( unpack1 @ A @ B @ ( pack1 @ A @ B ) @ ( pack2 @ A @ B ) )
= A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(12,axiom,
! [B: $i,A: $i] :
( ( unpack2 @ A @ B @ ( pack1 @ A @ B ) @ ( inv @ ( pack2 @ A @ B ) ) )
= B ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unpack2_08) ).
thf(37,plain,
! [B: $i,A: $i] :
( ( unpack2 @ A @ B @ ( pack1 @ A @ B ) @ ( inv @ ( pack2 @ A @ B ) ) )
= B ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).
thf(6,axiom,
! [B: $i,A: $i] :
( ( unpack1 @ A @ B @ ( inv @ ( pack1 @ A @ B ) ) @ ( pack2 @ A @ B ) )
= A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unpack1_03) ).
thf(25,plain,
! [B: $i,A: $i] :
( ( unpack1 @ A @ B @ ( inv @ ( pack1 @ A @ B ) ) @ ( pack2 @ A @ B ) )
= A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(4,axiom,
! [B: $i,A: $i] :
( ( unpack1 @ ( inv @ A ) @ B @ ( pack1 @ A @ B ) @ ( pack2 @ A @ B ) )
= A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unpack1_01) ).
thf(21,plain,
! [B: $i,A: $i] :
( ( unpack1 @ ( inv @ A ) @ B @ ( pack1 @ A @ B ) @ ( pack2 @ A @ B ) )
= A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(10,axiom,
! [B: $i,A: $i] :
( ( unpack2 @ A @ ( inv @ B ) @ ( pack1 @ A @ B ) @ ( pack2 @ A @ B ) )
= B ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unpack2_06) ).
thf(33,plain,
! [B: $i,A: $i] :
( ( unpack2 @ A @ ( inv @ B ) @ ( pack1 @ A @ B ) @ ( pack2 @ A @ B ) )
= B ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).
thf(2,axiom,
! [A: $i] :
( ( inv @ A )
!= A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',bit_inverse) ).
thf(16,plain,
! [A: $i] :
( ( inv @ A )
!= A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(9,axiom,
! [B: $i,A: $i] :
( ( unpack2 @ ( inv @ A ) @ B @ ( pack1 @ A @ B ) @ ( pack2 @ A @ B ) )
= B ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unpack2_05) ).
thf(31,plain,
! [B: $i,A: $i] :
( ( unpack2 @ ( inv @ A ) @ B @ ( pack1 @ A @ B ) @ ( pack2 @ A @ B ) )
= B ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(39,plain,
$false,
inference(cvc4,[status(thm)],[29,13,27,35,23,19,37,25,21,33,16,31]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : HWV052-1.002.002 : TPTP v8.2.0. Released v4.1.0.
% 0.10/0.11 % Command : run_Leo-III %s %d
% 0.11/0.31 % Computer : n003.cluster.edu
% 0.11/0.31 % Model : x86_64 x86_64
% 0.11/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31 % Memory : 8042.1875MB
% 0.11/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.31 % CPULimit : 300
% 0.16/0.31 % WCLimit : 300
% 0.16/0.31 % DateTime : Sun May 19 12:05:24 EDT 2024
% 0.16/0.31 % CPUTime :
% 0.91/0.87 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.18/1.02 % [INFO] Parsing done (150ms).
% 1.18/1.04 % [INFO] Running in sequential loop mode.
% 1.62/1.37 % [INFO] eprover registered as external prover.
% 1.62/1.38 % [INFO] cvc4 registered as external prover.
% 1.62/1.38 % [INFO] Scanning for conjecture ...
% 1.76/1.42 % [INFO] 12 axioms and no conjecture found.
% 1.89/1.48 % [INFO] Problem is propositional (TPTP CNF).
% 1.89/1.48 % [INFO] Type checking passed.
% 1.89/1.49 % [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 ...
% 2.03/1.62 % [INFO] [Domain constraints] Detected constraint on $i
% 2.03/1.62 % [INFO] [Domain constraints] dom($i) ⊆ {o,i}
% 2.79/1.96 % External prover 'cvc4' found a proof!
% 2.79/1.96 % [INFO] Killing All external provers ...
% 2.79/1.96 % Time passed: 1515ms (effective reasoning time: 920ms)
% 2.79/1.96 % Axioms used in derivation (12): bit_inverse, unpack2_07, unpack2, unpack2_06, unpack1, unpack1_04, bit_domain, unpack1_02, unpack1_03, unpack1_01, unpack2_05, unpack2_08
% 2.79/1.96 % No. of inferences in proof: 25
% 2.79/1.96 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p : 1515 ms resp. 920 ms w/o parsing
% 3.04/2.05 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 3.04/2.05 % [INFO] Killing All external provers ...
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