TSTP Solution File: HWV027-2 by Leo-III-SAT---1.7.12
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%------------------------------------------------------------------------------
% File : Leo-III-SAT---1.7.12
% Problem : HWV027-2 : TPTP v8.2.0. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n011.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 21:39:41 EDT 2024
% Result : Unsatisfiable 107.24s 19.13s
% Output : Refutation 107.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 15
% Syntax : Number of formulae : 35 ( 17 unt; 9 typ; 0 def)
% Number of atoms : 52 ( 15 equ; 0 cnn)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 160 ( 16 ~; 26 |; 0 &; 118 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 8 ( 8 >; 0 *; 0 +; 0 <<)
% Number of symbols : 11 ( 9 usr; 3 con; 0-2 aty)
% Number of variables : 9 ( 0 ^ 9 !; 0 ?; 9 :)
% Comments :
%------------------------------------------------------------------------------
thf(p__pred__type,type,
p__pred_: $i > $o ).
thf(fwork_DOTfifo_DOTrtl_DOTwr__type,type,
fwork_DOTfifo_DOTrtl_DOTwr_: $i > $i ).
thf(t_206_type,type,
t_206: $i ).
thf(fwork_DOTfifo_DOTrtl_DOTreset__type,type,
fwork_DOTfifo_DOTrtl_DOTreset_: $i > $i ).
thf(fwork_DOTfifo_DOTrtl_DOTrd__type,type,
fwork_DOTfifo_DOTrtl_DOTrd_: $i > $i ).
thf(fwork_DOTfifo_DOTrtl_DOTlevel__type,type,
fwork_DOTfifo_DOTrtl_DOTlevel_: $i > $i ).
thf(f_ADD__type,type,
f_ADD_: $i > $i > $i ).
thf(n1_type,type,
n1: $i ).
thf(fwork_DOTfifo_DOTrtl_DOTint__level__type,type,
fwork_DOTfifo_DOTrtl_DOTint__level_: $i > $i ).
thf(59,axiom,
! [A: $i] :
( ( ( fwork_DOTfifo_DOTrtl_DOTint__level_ @ ( f_ADD_ @ A @ n1 ) )
= ( fwork_DOTfifo_DOTrtl_DOTint__level_ @ A ) )
| ( p__pred_ @ ( fwork_DOTfifo_DOTrtl_DOTrd_ @ A ) )
| ( p__pred_ @ ( fwork_DOTfifo_DOTrtl_DOTwr_ @ A ) )
| ( p__pred_ @ ( fwork_DOTfifo_DOTrtl_DOTreset_ @ A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_51) ).
thf(275,plain,
! [A: $i] :
( ( ( fwork_DOTfifo_DOTrtl_DOTint__level_ @ ( f_ADD_ @ A @ n1 ) )
= ( fwork_DOTfifo_DOTrtl_DOTint__level_ @ A ) )
| ( p__pred_ @ ( fwork_DOTfifo_DOTrtl_DOTrd_ @ A ) )
| ( p__pred_ @ ( fwork_DOTfifo_DOTrtl_DOTwr_ @ A ) )
| ( p__pred_ @ ( fwork_DOTfifo_DOTrtl_DOTreset_ @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[59]) ).
thf(276,plain,
! [A: $i] :
( ( ( fwork_DOTfifo_DOTrtl_DOTint__level_ @ ( f_ADD_ @ A @ n1 ) )
= ( fwork_DOTfifo_DOTrtl_DOTint__level_ @ A ) )
| ( p__pred_ @ ( fwork_DOTfifo_DOTrtl_DOTrd_ @ A ) )
| ( p__pred_ @ ( fwork_DOTfifo_DOTrtl_DOTwr_ @ A ) )
| ( p__pred_ @ ( fwork_DOTfifo_DOTrtl_DOTreset_ @ A ) ) ),
inference(cnf,[status(esa)],[275]) ).
thf(277,plain,
! [A: $i] :
( ( ( fwork_DOTfifo_DOTrtl_DOTint__level_ @ ( f_ADD_ @ A @ n1 ) )
= ( fwork_DOTfifo_DOTrtl_DOTint__level_ @ A ) )
| ( p__pred_ @ ( fwork_DOTfifo_DOTrtl_DOTrd_ @ A ) )
| ( p__pred_ @ ( fwork_DOTfifo_DOTrtl_DOTwr_ @ A ) )
| ( p__pred_ @ ( fwork_DOTfifo_DOTrtl_DOTreset_ @ A ) ) ),
inference(lifteq,[status(thm)],[276]) ).
thf(110,axiom,
! [A: $i] :
( ( fwork_DOTfifo_DOTrtl_DOTlevel_ @ A )
= ( fwork_DOTfifo_DOTrtl_DOTint__level_ @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_5) ).
thf(400,plain,
! [A: $i] :
( ( fwork_DOTfifo_DOTrtl_DOTlevel_ @ A )
= ( fwork_DOTfifo_DOTrtl_DOTint__level_ @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[110]) ).
thf(401,plain,
! [A: $i] :
( ( fwork_DOTfifo_DOTrtl_DOTint__level_ @ A )
= ( fwork_DOTfifo_DOTrtl_DOTlevel_ @ A ) ),
inference(lifteq,[status(thm)],[400]) ).
thf(33285,plain,
! [A: $i] :
( ( ( fwork_DOTfifo_DOTrtl_DOTlevel_ @ ( f_ADD_ @ A @ n1 ) )
= ( fwork_DOTfifo_DOTrtl_DOTlevel_ @ A ) )
| ( p__pred_ @ ( fwork_DOTfifo_DOTrtl_DOTrd_ @ A ) )
| ( p__pred_ @ ( fwork_DOTfifo_DOTrtl_DOTwr_ @ A ) )
| ( p__pred_ @ ( fwork_DOTfifo_DOTrtl_DOTreset_ @ A ) ) ),
inference(rewrite,[status(thm)],[277,401]) ).
thf(4,negated_conjecture,
( ( fwork_DOTfifo_DOTrtl_DOTlevel_ @ t_206 )
!= ( fwork_DOTfifo_DOTrtl_DOTlevel_ @ ( f_ADD_ @ t_206 @ n1 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quest_4) ).
thf(141,plain,
( ( fwork_DOTfifo_DOTrtl_DOTlevel_ @ t_206 )
!= ( fwork_DOTfifo_DOTrtl_DOTlevel_ @ ( f_ADD_ @ t_206 @ n1 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(145,plain,
( ( fwork_DOTfifo_DOTrtl_DOTlevel_ @ t_206 )
!= ( fwork_DOTfifo_DOTrtl_DOTlevel_ @ ( f_ADD_ @ t_206 @ n1 ) ) ),
inference(polarity_switch,[status(thm)],[141]) ).
thf(146,plain,
( ( fwork_DOTfifo_DOTrtl_DOTlevel_ @ ( f_ADD_ @ t_206 @ n1 ) )
!= ( fwork_DOTfifo_DOTrtl_DOTlevel_ @ t_206 ) ),
inference(lifteq,[status(thm)],[145]) ).
thf(33360,plain,
! [A: $i] :
( ( p__pred_ @ ( fwork_DOTfifo_DOTrtl_DOTrd_ @ A ) )
| ( p__pred_ @ ( fwork_DOTfifo_DOTrtl_DOTwr_ @ A ) )
| ( p__pred_ @ ( fwork_DOTfifo_DOTrtl_DOTreset_ @ A ) )
| ( ( fwork_DOTfifo_DOTrtl_DOTlevel_ @ A )
!= ( fwork_DOTfifo_DOTrtl_DOTlevel_ @ t_206 ) )
| ( ( fwork_DOTfifo_DOTrtl_DOTlevel_ @ ( f_ADD_ @ A @ n1 ) )
!= ( fwork_DOTfifo_DOTrtl_DOTlevel_ @ ( f_ADD_ @ t_206 @ n1 ) ) ) ),
inference(paramod_ordered,[status(thm)],[33285,146]) ).
thf(33361,plain,
( ( p__pred_ @ ( fwork_DOTfifo_DOTrtl_DOTrd_ @ t_206 ) )
| ( p__pred_ @ ( fwork_DOTfifo_DOTrtl_DOTwr_ @ t_206 ) )
| ( p__pred_ @ ( fwork_DOTfifo_DOTrtl_DOTreset_ @ t_206 ) )
| ( ( fwork_DOTfifo_DOTrtl_DOTlevel_ @ t_206 )
!= ( fwork_DOTfifo_DOTrtl_DOTlevel_ @ t_206 ) ) ),
inference(pattern_uni,[status(thm)],[33360:[bind(A,$thf( t_206 ))]]) ).
thf(33410,plain,
( ( p__pred_ @ ( fwork_DOTfifo_DOTrtl_DOTrd_ @ t_206 ) )
| ( p__pred_ @ ( fwork_DOTfifo_DOTrtl_DOTwr_ @ t_206 ) )
| ( p__pred_ @ ( fwork_DOTfifo_DOTrtl_DOTreset_ @ t_206 ) ) ),
inference(simp,[status(thm)],[33361]) ).
thf(3,negated_conjecture,
~ ( p__pred_ @ ( fwork_DOTfifo_DOTrtl_DOTrd_ @ t_206 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quest_3) ).
thf(140,plain,
~ ( p__pred_ @ ( fwork_DOTfifo_DOTrtl_DOTrd_ @ t_206 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(144,plain,
~ ( p__pred_ @ ( fwork_DOTfifo_DOTrtl_DOTrd_ @ t_206 ) ),
inference(polarity_switch,[status(thm)],[140]) ).
thf(1,negated_conjecture,
~ ( p__pred_ @ ( fwork_DOTfifo_DOTrtl_DOTwr_ @ t_206 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quest_1) ).
thf(138,plain,
~ ( p__pred_ @ ( fwork_DOTfifo_DOTrtl_DOTwr_ @ t_206 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(142,plain,
~ ( p__pred_ @ ( fwork_DOTfifo_DOTrtl_DOTwr_ @ t_206 ) ),
inference(polarity_switch,[status(thm)],[138]) ).
thf(2,negated_conjecture,
~ ( p__pred_ @ ( fwork_DOTfifo_DOTrtl_DOTreset_ @ t_206 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quest_2) ).
thf(139,plain,
~ ( p__pred_ @ ( fwork_DOTfifo_DOTrtl_DOTreset_ @ t_206 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(143,plain,
~ ( p__pred_ @ ( fwork_DOTfifo_DOTrtl_DOTreset_ @ t_206 ) ),
inference(polarity_switch,[status(thm)],[139]) ).
thf(48521,plain,
( $false
| $false
| $false ),
inference(rewrite,[status(thm)],[33410,144,142,143]) ).
thf(48522,plain,
$false,
inference(simp,[status(thm)],[48521]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : HWV027-2 : TPTP v8.2.0. Released v2.5.0.
% 0.11/0.15 % Command : run_Leo-III %s %d
% 0.15/0.36 % Computer : n011.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Sun May 19 11:04:24 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.87/0.78 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.39/0.96 % [INFO] Parsing done (175ms).
% 1.39/0.97 % [INFO] Running in sequential loop mode.
% 1.69/1.16 % [INFO] nitpick registered as external prover.
% 1.69/1.16 % [INFO] Scanning for conjecture ...
% 2.05/1.24 % [INFO] Found a conjecture (or negated_conjecture) and 133 axioms. Running axiom selection ...
% 2.05/1.31 % [INFO] Axiom selection finished. Selected 133 axioms (removed 0 axioms).
% 2.64/1.39 % [INFO] Problem is propositional (TPTP CNF).
% 2.64/1.40 % [INFO] Type checking passed.
% 2.64/1.40 % [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 ...
% 107.24/19.12 % [INFO] Killing All external provers ...
% 107.24/19.12 % Time passed: 18669ms (effective reasoning time: 18152ms)
% 107.24/19.12 % Axioms used in derivation (2): axiom_51, axiom_5
% 107.24/19.12 % No. of inferences in proof: 26
% 107.24/19.13 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p : 18669 ms resp. 18152 ms w/o parsing
% 107.24/19.14 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 107.24/19.14 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------