TSTP Solution File: SWC349-1 by Leo-III-SAT---1.7.12
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%------------------------------------------------------------------------------
% File : Leo-III-SAT---1.7.12
% Problem : SWC349-1 : TPTP v8.2.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n015.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 : Tue May 21 04:35:00 EDT 2024
% Result : Unsatisfiable 276.62s 50.47s
% Output : Refutation 276.73s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 11
% Syntax : Number of formulae : 26 ( 15 unt; 6 typ; 0 def)
% Number of atoms : 27 ( 8 equ; 0 cnn)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 42 ( 11 ~; 5 |; 0 &; 26 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 3 ( 3 >; 0 *; 0 +; 0 <<)
% Number of symbols : 9 ( 6 usr; 6 con; 0-2 aty)
% Number of variables : 5 ( 0 ^ 5 !; 0 ?; 5 :)
% Comments :
%------------------------------------------------------------------------------
thf(ssList_type,type,
ssList: $i > $o ).
thf(sk1_type,type,
sk1: $i ).
thf(sk2_type,type,
sk2: $i ).
thf(sk3_type,type,
sk3: $i ).
thf(nil_type,type,
nil: $i ).
thf(frontsegP_type,type,
frontsegP: $i > $i > $o ).
thf(136,axiom,
! [A: $i] :
( ~ ( ssList @ A )
| ( frontsegP @ A @ nil ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause60) ).
thf(488,plain,
! [A: $i] :
( ~ ( ssList @ A )
| ( frontsegP @ A @ nil ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[136]) ).
thf(489,plain,
! [A: $i] :
( ~ ( ssList @ A )
| ( frontsegP @ A @ nil ) ),
inference(cnf,[status(esa)],[488]) ).
thf(5,negated_conjecture,
nil = sk3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_5) ).
thf(195,plain,
nil = sk3,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(206,plain,
nil = sk3,
inference(lifteq,[status(thm)],[195]) ).
thf(7,negated_conjecture,
sk1 = sk3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_7) ).
thf(200,plain,
sk1 = sk3,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(207,plain,
sk3 = sk1,
inference(lifteq,[status(thm)],[200]) ).
thf(632,plain,
nil = sk1,
inference(rewrite,[status(thm)],[206,207]) ).
thf(136932,plain,
! [A: $i] :
( ~ ( ssList @ A )
| ( frontsegP @ A @ sk1 ) ),
inference(rewrite,[status(thm)],[489,632]) ).
thf(9,negated_conjecture,
~ ( frontsegP @ sk2 @ sk1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_9) ).
thf(198,plain,
~ ( frontsegP @ sk2 @ sk1 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(205,plain,
~ ( frontsegP @ sk2 @ sk1 ),
inference(polarity_switch,[status(thm)],[198]) ).
thf(136996,plain,
! [A: $i] :
( ~ ( ssList @ A )
| ( ( frontsegP @ A @ sk1 )
!= ( frontsegP @ sk2 @ sk1 ) ) ),
inference(paramod_ordered,[status(thm)],[136932,205]) ).
thf(136997,plain,
~ ( ssList @ sk2 ),
inference(pattern_uni,[status(thm)],[136996:[bind(A,$thf( sk2 ))]]) ).
thf(2,negated_conjecture,
ssList @ sk2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_2) ).
thf(199,plain,
ssList @ sk2,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(137159,plain,
~ $true,
inference(rewrite,[status(thm)],[136997,199]) ).
thf(137160,plain,
$false,
inference(simp,[status(thm)],[137159]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWC349-1 : TPTP v8.2.0. Released v2.4.0.
% 0.14/0.15 % Command : run_Leo-III %s %d
% 0.15/0.37 % Computer : n015.cluster.edu
% 0.15/0.37 % Model : x86_64 x86_64
% 0.15/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37 % Memory : 8042.1875MB
% 0.15/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37 % CPULimit : 300
% 0.15/0.37 % WCLimit : 300
% 0.15/0.37 % DateTime : Sun May 19 03:16:24 EDT 2024
% 0.21/0.37 % CPUTime :
% 0.89/0.85 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.21/1.03 % [INFO] Parsing done (175ms).
% 1.54/1.04 % [INFO] Running in sequential loop mode.
% 1.94/1.28 % [INFO] nitpick registered as external prover.
% 1.94/1.28 % [INFO] Scanning for conjecture ...
% 2.22/1.38 % [INFO] Found a conjecture (or negated_conjecture) and 185 axioms. Running axiom selection ...
% 2.49/1.47 % [INFO] Axiom selection finished. Selected 185 axioms (removed 0 axioms).
% 2.79/1.57 % [INFO] Problem is propositional (TPTP CNF).
% 2.79/1.58 % [INFO] Type checking passed.
% 2.79/1.59 % [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 ...
% 276.62/50.46 % [INFO] Killing All external provers ...
% 276.62/50.47 % Time passed: 49920ms (effective reasoning time: 49418ms)
% 276.62/50.47 % Axioms used in derivation (1): clause60
% 276.62/50.47 % No. of inferences in proof: 20
% 276.62/50.47 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p : 49920 ms resp. 49418 ms w/o parsing
% 276.73/50.48 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 276.73/50.48 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------