TSTP Solution File: SWC255-1 by Leo-III-SAT---1.7.12
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%------------------------------------------------------------------------------
% File : Leo-III-SAT---1.7.12
% Problem : SWC255-1 : TPTP v8.2.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n004.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 04:34:38 EDT 2024
% Result : Unsatisfiable 5.67s 2.47s
% Output : Refutation 5.67s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 12
% Syntax : Number of formulae : 29 ( 11 unt; 7 typ; 0 def)
% Number of atoms : 37 ( 8 equ; 0 cnn)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 69 ( 16 ~; 11 |; 0 &; 42 @)
% ( 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 ( 7 usr; 6 con; 0-2 aty)
% Number of variables : 0 ( 0 ^ 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
thf(sk1_type,type,
sk1: $i ).
thf(sk2_type,type,
sk2: $i ).
thf(sk3_type,type,
sk3: $i ).
thf(sk4_type,type,
sk4: $i ).
thf(neq_type,type,
neq: $i > $i > $o ).
thf(nil_type,type,
nil: $i ).
thf(singletonP_type,type,
singletonP: $i > $o ).
thf(7,negated_conjecture,
( ( neq @ sk2 @ nil )
| ( neq @ sk2 @ nil ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_7) ).
thf(205,plain,
neq @ sk2 @ nil,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(11,negated_conjecture,
( ( singletonP @ sk3 )
| ~ ( neq @ sk4 @ nil ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_11) ).
thf(207,plain,
( ( singletonP @ sk3 )
| ~ ( neq @ sk4 @ nil ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).
thf(216,plain,
( ( singletonP @ sk3 )
| ~ ( neq @ sk4 @ nil ) ),
inference(cnf,[status(esa)],[207]) ).
thf(6,negated_conjecture,
sk1 = sk3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_6) ).
thf(201,plain,
sk1 = sk3,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(211,plain,
sk3 = sk1,
inference(lifteq,[status(thm)],[201]) ).
thf(5,negated_conjecture,
sk2 = sk4,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_5) ).
thf(198,plain,
sk2 = sk4,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(214,plain,
sk4 = sk2,
inference(lifteq,[status(thm)],[198]) ).
thf(646,plain,
( ( singletonP @ sk1 )
| ~ ( neq @ sk2 @ nil ) ),
inference(rewrite,[status(thm)],[216,211,214]) ).
thf(647,plain,
( ( singletonP @ sk1 )
| ( ( neq @ sk2 @ nil )
!= ( neq @ sk2 @ nil ) ) ),
inference(paramod_ordered,[status(thm)],[205,646]) ).
thf(648,plain,
singletonP @ sk1,
inference(pattern_uni,[status(thm)],[647:[]]) ).
thf(12,negated_conjecture,
( ~ ( singletonP @ sk1 )
| ~ ( neq @ sk4 @ nil ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_12) ).
thf(204,plain,
( ~ ( singletonP @ sk1 )
| ~ ( neq @ sk4 @ nil ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).
thf(212,plain,
( ~ ( singletonP @ sk1 )
| ~ ( neq @ sk4 @ nil ) ),
inference(cnf,[status(esa)],[204]) ).
thf(642,plain,
( ~ ( singletonP @ sk1 )
| ~ ( neq @ sk2 @ nil ) ),
inference(rewrite,[status(thm)],[212,214]) ).
thf(643,plain,
( ~ ( singletonP @ sk1 )
| ( ( neq @ sk2 @ nil )
!= ( neq @ sk2 @ nil ) ) ),
inference(paramod_ordered,[status(thm)],[205,642]) ).
thf(644,plain,
~ ( singletonP @ sk1 ),
inference(pattern_uni,[status(thm)],[643:[]]) ).
thf(654,plain,
$false,
inference(rewrite,[status(thm)],[648,644]) ).
thf(655,plain,
$false,
inference(simp,[status(thm)],[654]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SWC255-1 : TPTP v8.2.0. Released v2.4.0.
% 0.11/0.15 % Command : run_Leo-III %s %d
% 0.14/0.37 % Computer : n004.cluster.edu
% 0.14/0.37 % Model : x86_64 x86_64
% 0.14/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.37 % Memory : 8042.1875MB
% 0.14/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.37 % CPULimit : 300
% 0.14/0.37 % WCLimit : 300
% 0.14/0.37 % DateTime : Sun May 19 02:35:24 EDT 2024
% 0.14/0.37 % CPUTime :
% 1.02/0.92 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.53/1.09 % [INFO] Parsing done (171ms).
% 1.53/1.10 % [INFO] Running in sequential loop mode.
% 1.88/1.30 % [INFO] nitpick registered as external prover.
% 1.88/1.31 % [INFO] Scanning for conjecture ...
% 2.26/1.39 % [INFO] Found a conjecture (or negated_conjecture) and 185 axioms. Running axiom selection ...
% 2.56/1.47 % [INFO] Axiom selection finished. Selected 185 axioms (removed 0 axioms).
% 2.83/1.58 % [INFO] Problem is propositional (TPTP CNF).
% 2.83/1.59 % [INFO] Type checking passed.
% 2.83/1.59 % [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 ...
% 5.67/2.46 % [INFO] Killing All external provers ...
% 5.67/2.47 % Time passed: 1937ms (effective reasoning time: 1364ms)
% 5.67/2.47 % Axioms used in derivation (0):
% 5.67/2.47 % No. of inferences in proof: 22
% 5.67/2.47 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p : 1937 ms resp. 1364 ms w/o parsing
% 5.67/2.48 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 5.67/2.48 % [INFO] Killing All external provers ...
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