TSTP Solution File: SWC385-1 by Leo-III-SAT---1.7.12
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Leo-III-SAT---1.7.12
% Problem : SWC385-1 : TPTP v8.2.0. Released v2.4.0.
% 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 : Tue May 21 04:35:09 EDT 2024
% Result : Unsatisfiable 5.45s 2.38s
% Output : Refutation 5.45s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 14
% Syntax : Number of formulae : 32 ( 15 unt; 8 typ; 0 def)
% Number of atoms : 35 ( 7 equ; 0 cnn)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 62 ( 14 ~; 9 |; 0 &; 39 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 5 ( 5 >; 0 *; 0 +; 0 <<)
% Number of symbols : 11 ( 8 usr; 7 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(segmentP_type,type,
segmentP: $i > $i > $o ).
thf(singletonP_type,type,
singletonP: $i > $o ).
thf(7,negated_conjecture,
neq @ sk2 @ nil,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_7) ).
thf(202,plain,
neq @ sk2 @ nil,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(9,negated_conjecture,
( ( singletonP @ sk3 )
| ~ ( neq @ sk4 @ nil ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_9) ).
thf(200,plain,
( ( singletonP @ sk3 )
| ~ ( neq @ sk4 @ nil ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(209,plain,
( ( singletonP @ sk3 )
| ~ ( neq @ sk4 @ nil ) ),
inference(cnf,[status(esa)],[200]) ).
thf(6,negated_conjecture,
sk1 = sk3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_6) ).
thf(199,plain,
sk1 = sk3,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(208,plain,
sk3 = sk1,
inference(lifteq,[status(thm)],[199]) ).
thf(5,negated_conjecture,
sk2 = sk4,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_5) ).
thf(196,plain,
sk2 = sk4,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(206,plain,
sk4 = sk2,
inference(lifteq,[status(thm)],[196]) ).
thf(641,plain,
( ( singletonP @ sk1 )
| ~ ( neq @ sk2 @ nil ) ),
inference(rewrite,[status(thm)],[209,208,206]) ).
thf(642,plain,
( ( singletonP @ sk1 )
| ( ( neq @ sk2 @ nil )
!= ( neq @ sk2 @ nil ) ) ),
inference(paramod_ordered,[status(thm)],[202,641]) ).
thf(643,plain,
singletonP @ sk1,
inference(pattern_uni,[status(thm)],[642:[]]) ).
thf(10,negated_conjecture,
( ~ ( singletonP @ sk1 )
| ~ ( segmentP @ sk2 @ sk1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_10) ).
thf(197,plain,
( ~ ( singletonP @ sk1 )
| ~ ( segmentP @ sk2 @ sk1 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).
thf(207,plain,
( ~ ( singletonP @ sk1 )
| ~ ( segmentP @ sk2 @ sk1 ) ),
inference(cnf,[status(esa)],[197]) ).
thf(8,negated_conjecture,
segmentP @ sk4 @ sk3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_8) ).
thf(204,plain,
segmentP @ sk4 @ sk3,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(634,plain,
segmentP @ sk2 @ sk1,
inference(rewrite,[status(thm)],[204,208,206]) ).
thf(635,plain,
( ~ ( singletonP @ sk1 )
| ~ $true ),
inference(rewrite,[status(thm)],[207,634]) ).
thf(636,plain,
~ ( singletonP @ sk1 ),
inference(simp,[status(thm)],[635]) ).
thf(644,plain,
$false,
inference(rewrite,[status(thm)],[643,636]) ).
thf(645,plain,
$false,
inference(simp,[status(thm)],[644]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWC385-1 : TPTP v8.2.0. Released v2.4.0.
% 0.07/0.15 % Command : run_Leo-III %s %d
% 0.16/0.36 % Computer : n003.cluster.edu
% 0.16/0.36 % Model : x86_64 x86_64
% 0.16/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36 % Memory : 8042.1875MB
% 0.16/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36 % CPULimit : 300
% 0.16/0.36 % WCLimit : 300
% 0.16/0.36 % DateTime : Sun May 19 02:48:39 EDT 2024
% 0.16/0.36 % CPUTime :
% 0.93/0.92 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.58/1.10 % [INFO] Parsing done (182ms).
% 1.58/1.11 % [INFO] Running in sequential loop mode.
% 2.01/1.31 % [INFO] nitpick registered as external prover.
% 2.01/1.32 % [INFO] Scanning for conjecture ...
% 2.28/1.40 % [INFO] Found a conjecture (or negated_conjecture) and 185 axioms. Running axiom selection ...
% 2.55/1.47 % [INFO] Axiom selection finished. Selected 185 axioms (removed 0 axioms).
% 2.87/1.56 % [INFO] Problem is propositional (TPTP CNF).
% 2.98/1.57 % [INFO] Type checking passed.
% 2.98/1.58 % [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 ...
% 5.45/2.38 % [INFO] Killing All external provers ...
% 5.45/2.38 % Time passed: 1842ms (effective reasoning time: 1267ms)
% 5.45/2.38 % Axioms used in derivation (0):
% 5.45/2.38 % No. of inferences in proof: 24
% 5.45/2.38 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p : 1842 ms resp. 1267 ms w/o parsing
% 5.45/2.40 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 5.45/2.40 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------