TSTP Solution File: SWC405-1 by Leo-III-SAT---1.7.12
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%------------------------------------------------------------------------------
% File : Leo-III-SAT---1.7.12
% Problem : SWC405-1 : TPTP v8.2.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n024.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 04:35:14 EDT 2024
% Result : Unsatisfiable 6.01s 2.43s
% Output : Refutation 6.01s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 13
% Syntax : Number of formulae : 28 ( 14 unt; 7 typ; 0 def)
% Number of atoms : 35 ( 7 equ; 0 cnn)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 72 ( 18 ~; 12 |; 0 &; 42 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 3 ( 3 >; 0 *; 0 +; 0 <<)
% Number of symbols : 10 ( 7 usr; 7 con; 0-2 aty)
% Number of variables : 5 ( 0 ^ 5 !; 0 ?; 5 :)
% 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(ssItem_type,type,
ssItem: $i > $o ).
thf(memberP_type,type,
memberP: $i > $i > $o ).
thf(sk5_type,type,
sk5: $i ).
thf(7,negated_conjecture,
! [A: $i] :
( ~ ( ssItem @ A )
| ( memberP @ sk4 @ A )
| ~ ( memberP @ sk3 @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_7) ).
thf(203,plain,
! [A: $i] :
( ~ ( ssItem @ A )
| ( memberP @ sk4 @ A )
| ~ ( memberP @ sk3 @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(211,plain,
! [A: $i] :
( ~ ( ssItem @ A )
| ( memberP @ sk4 @ A )
| ~ ( memberP @ sk3 @ A ) ),
inference(cnf,[status(esa)],[203]) ).
thf(5,negated_conjecture,
sk2 = sk4,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_5) ).
thf(197,plain,
sk2 = sk4,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(209,plain,
sk4 = sk2,
inference(lifteq,[status(thm)],[197]) ).
thf(6,negated_conjecture,
sk1 = sk3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_6) ).
thf(200,plain,
sk1 = sk3,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(212,plain,
sk3 = sk1,
inference(lifteq,[status(thm)],[200]) ).
thf(647,plain,
! [A: $i] :
( ~ ( ssItem @ A )
| ( memberP @ sk2 @ A )
| ~ ( memberP @ sk1 @ A ) ),
inference(rewrite,[status(thm)],[211,209,212]) ).
thf(11,negated_conjecture,
~ ( memberP @ sk2 @ sk5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_11) ).
thf(205,plain,
~ ( memberP @ sk2 @ sk5 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).
thf(210,plain,
~ ( memberP @ sk2 @ sk5 ),
inference(polarity_switch,[status(thm)],[205]) ).
thf(651,plain,
! [A: $i] :
( ~ ( ssItem @ A )
| ~ ( memberP @ sk1 @ A )
| ( ( memberP @ sk2 @ A )
!= ( memberP @ sk2 @ sk5 ) ) ),
inference(paramod_ordered,[status(thm)],[647,210]) ).
thf(652,plain,
( ~ ( ssItem @ sk5 )
| ~ ( memberP @ sk1 @ sk5 ) ),
inference(pattern_uni,[status(thm)],[651:[bind(A,$thf( sk5 ))]]) ).
thf(10,negated_conjecture,
memberP @ sk1 @ sk5,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_10) ).
thf(198,plain,
memberP @ sk1 @ sk5,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).
thf(9,negated_conjecture,
ssItem @ sk5,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_9) ).
thf(201,plain,
ssItem @ sk5,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(663,plain,
( ~ $true
| ~ $true ),
inference(rewrite,[status(thm)],[652,198,201]) ).
thf(664,plain,
$false,
inference(simp,[status(thm)],[663]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : SWC405-1 : TPTP v8.2.0. Released v2.4.0.
% 0.11/0.15 % Command : run_Leo-III %s %d
% 0.14/0.35 % Computer : n024.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Sun May 19 03:37:54 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.85/0.83 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.51/1.01 % [INFO] Parsing done (168ms).
% 1.51/1.01 % [INFO] Running in sequential loop mode.
% 1.93/1.23 % [INFO] nitpick registered as external prover.
% 1.93/1.23 % [INFO] Scanning for conjecture ...
% 2.03/1.32 % [INFO] Found a conjecture (or negated_conjecture) and 185 axioms. Running axiom selection ...
% 2.52/1.40 % [INFO] Axiom selection finished. Selected 185 axioms (removed 0 axioms).
% 2.80/1.50 % [INFO] Problem is propositional (TPTP CNF).
% 2.92/1.51 % [INFO] Type checking passed.
% 2.92/1.51 % [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 ...
% 6.01/2.42 % [INFO] Killing All external provers ...
% 6.01/2.43 % Time passed: 1924ms (effective reasoning time: 1409ms)
% 6.01/2.43 % Axioms used in derivation (0):
% 6.01/2.43 % No. of inferences in proof: 21
% 6.01/2.43 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p : 1924 ms resp. 1409 ms w/o parsing
% 6.01/2.44 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 6.01/2.44 % [INFO] Killing All external provers ...
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