TSTP Solution File: PUZ008-2 by CARINE---0.734
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%------------------------------------------------------------------------------
% File : CARINE---0.734
% Problem : PUZ008-2 : TPTP v5.0.0. Released v1.0.0.
% Transfm : add_equality
% Format : carine
% Command : carine %s t=%d xo=off uct=32000
% Computer : art03.cs.miami.edu
% Model : i686 i686
% CPU : Intel(R) Pentium(R) 4 CPU 2.80GHz @ 2793MHz
% Memory : 2018MB
% OS : Linux 2.6.26.8-57.fc8
% CPULimit : 300s
% DateTime : Sun Nov 28 03:51:52 EST 2010
% Result : Unsatisfiable 0.20s
% Output : Refutation 0.20s
% Verified :
% SZS Type : None (Parsing solution fails)
% Syntax : Number of formulae : 0
% Comments :
%------------------------------------------------------------------------------
%----ERROR: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Command entered:
% /home/graph/tptp/Systems/CARINE---0.734/carine /tmp/SystemOnTPTP21673/PUZ/PUZ008-2+noeq.car t=300 xo=off uct=32000
% CARINE version 0.734 (Dec 2003)
% Initializing tables ... done.
% Parsing ................................ done.
% Calculating time slices ... done.
% Building Lookup Tables ... done.
% Looking for a proof at depth = 1 ...
% t = 0 secs [nr = 77] [nf = 0] [nu = 17] [ut = 9]
% Looking for a proof at depth = 2 ...
% +================================================+
% | |
% | Congratulations!!! ........ A proof was found. |
% | |
% +================================================+
% Base Clauses and Unit Clauses used in proof:
% ============================================
% Base Clauses:
% -------------
% B0: ~banks_3(west_2(m_1(n0_0()),c_1(n0_0())),east_2(m_1(n3_0()),c_1(n3_0())),boatoneast_0())
% B1: banks_3(west_2(m_1(n3_0()),c_1(n3_0())),east_2(m_1(n0_0()),c_1(n0_0())),boatonwest_0())
% B3: ~banks_3(west_2(m_1(n0_0()),c_1(n3_0())),east_2(m_1(n3_0()),c_1(n0_0())),boatonwest_0()) | banks_3(west_2(m_1(n0_0()),c_1(n1_0())),east_2(m_1(n3_0()),c_1(n2_0())),boatoneast_0())
% B4: ~banks_3(west_2(m_1(n0_0()),c_1(n2_0())),east_2(m_1(n3_0()),c_1(n1_0())),boatonwest_0()) | banks_3(west_2(m_1(n0_0()),c_1(n0_0())),east_2(m_1(n3_0()),c_1(n3_0())),boatoneast_0())
% B6: ~banks_3(west_2(m_1(n0_0()),c_1(n2_0())),east_2(m_1(n3_0()),c_1(n1_0())),boatoneast_0()) | banks_3(west_2(m_1(n0_0()),c_1(n3_0())),east_2(m_1(n3_0()),c_1(n0_0())),boatonwest_0())
% B10: ~banks_3(west_2(m_1(n0_0()),c_1(n1_0())),east_2(m_1(n3_0()),c_1(n2_0())),boatoneast_0()) | banks_3(west_2(m_1(n0_0()),c_1(n2_0())),east_2(m_1(n3_0()),c_1(n1_0())),boatonwest_0())
% B13: ~banks_3(west_2(m_1(n3_0()),c_1(n0_0())),east_2(m_1(n0_0()),c_1(n3_0())),boatoneast_0()) | banks_3(west_2(m_1(n3_0()),c_1(n1_0())),east_2(m_1(n0_0()),c_1(n2_0())),boatonwest_0())
% B14: ~banks_3(west_2(m_1(n3_0()),c_1(n3_0())),east_2(m_1(n0_0()),c_1(n0_0())),boatonwest_0()) | banks_3(west_2(m_1(n3_0()),c_1(n1_0())),east_2(m_1(n0_0()),c_1(n2_0())),boatoneast_0())
% B16: ~banks_3(west_2(m_1(n3_0()),c_1(n2_0())),east_2(m_1(n0_0()),c_1(n1_0())),boatonwest_0()) | banks_3(west_2(m_1(n3_0()),c_1(n0_0())),east_2(m_1(n0_0()),c_1(n3_0())),boatoneast_0())
% B21: ~banks_3(west_2(m_1(n3_0()),c_1(n1_0())),east_2(m_1(n0_0()),c_1(n2_0())),boatonwest_0()) | banks_3(west_2(m_1(n1_0()),c_1(n1_0())),east_2(m_1(n2_0()),c_1(n2_0())),boatoneast_0())
% B23: ~banks_3(west_2(m_1(n3_0()),c_1(n1_0())),east_2(m_1(n0_0()),c_1(n2_0())),boatoneast_0()) | banks_3(west_2(m_1(n3_0()),c_1(n2_0())),east_2(m_1(n0_0()),c_1(n1_0())),boatonwest_0())
% B24: ~banks_3(west_2(m_1(n2_0()),c_1(n2_0())),east_2(m_1(n1_0()),c_1(n1_0())),boatonwest_0()) | banks_3(west_2(m_1(n0_0()),c_1(n2_0())),east_2(m_1(n3_0()),c_1(n1_0())),boatoneast_0())
% B31: ~banks_3(west_2(m_1(n1_0()),c_1(n1_0())),east_2(m_1(n2_0()),c_1(n2_0())),boatoneast_0()) | banks_3(west_2(m_1(n2_0()),c_1(n2_0())),east_2(m_1(n1_0()),c_1(n1_0())),boatonwest_0())
% Unit Clauses:
% --------------
% U2: < d1 v0 dv0 f6 c5 t11 td3 > ~banks_3(west_2(m_1(n0_0()),c_1(n2_0())),east_2(m_1(n3_0()),c_1(n1_0())),boatonwest_0())
% U5: < d1 v0 dv0 f6 c5 t11 td3 > banks_3(west_2(m_1(n3_0()),c_1(n1_0())),east_2(m_1(n0_0()),c_1(n2_0())),boatoneast_0())
% U8: < d1 v0 dv0 f6 c5 t11 td3 > banks_3(west_2(m_1(n3_0()),c_1(n2_0())),east_2(m_1(n0_0()),c_1(n1_0())),boatonwest_0())
% U10: < d2 v0 dv0 f6 c5 t11 td3 > ~banks_3(west_2(m_1(n0_0()),c_1(n3_0())),east_2(m_1(n3_0()),c_1(n0_0())),boatonwest_0())
% U11: < d2 v0 dv0 f6 c5 t11 td3 > ~banks_3(west_2(m_1(n2_0()),c_1(n2_0())),east_2(m_1(n1_0()),c_1(n1_0())),boatonwest_0())
% U12: < d2 v0 dv0 f6 c5 t11 td3 > banks_3(west_2(m_1(n3_0()),c_1(n1_0())),east_2(m_1(n0_0()),c_1(n2_0())),boatonwest_0())
% U14: < d2 v0 dv0 f6 c5 t11 td3 > banks_3(west_2(m_1(n2_0()),c_1(n2_0())),east_2(m_1(n1_0()),c_1(n1_0())),boatonwest_0())
% --------------- Start of Proof ---------------
% Derivation of unit clause U2:
% ~banks_3(west_2(m_1(n0_0()),c_1(n0_0())),east_2(m_1(n3_0()),c_1(n3_0())),boatoneast_0()) ....... B0
% ~banks_3(west_2(m_1(n0_0()),c_1(n2_0())),east_2(m_1(n3_0()),c_1(n1_0())),boatonwest_0()) | banks_3(west_2(m_1(n0_0()),c_1(n0_0())),east_2(m_1(n3_0()),c_1(n3_0())),boatoneast_0()) ....... B4
% ~banks_3(west_2(m_1(n0_0()), c_1(n2_0())), east_2(m_1(n3_0()), c_1(n1_0())), boatonwest_0()) ....... R1 [B0:L0, B4:L1]
% Derivation of unit clause U5:
% banks_3(west_2(m_1(n3_0()),c_1(n3_0())),east_2(m_1(n0_0()),c_1(n0_0())),boatonwest_0()) ....... B1
% ~banks_3(west_2(m_1(n3_0()),c_1(n3_0())),east_2(m_1(n0_0()),c_1(n0_0())),boatonwest_0()) | banks_3(west_2(m_1(n3_0()),c_1(n1_0())),east_2(m_1(n0_0()),c_1(n2_0())),boatoneast_0()) ....... B14
% banks_3(west_2(m_1(n3_0()), c_1(n1_0())), east_2(m_1(n0_0()), c_1(n2_0())), boatoneast_0()) ....... R1 [B1:L0, B14:L0]
% Derivation of unit clause U8:
% ~banks_3(west_2(m_1(n3_0()),c_1(n1_0())),east_2(m_1(n0_0()),c_1(n2_0())),boatoneast_0()) | banks_3(west_2(m_1(n3_0()),c_1(n2_0())),east_2(m_1(n0_0()),c_1(n1_0())),boatonwest_0()) ....... B23
% banks_3(west_2(m_1(n3_0()),c_1(n1_0())),east_2(m_1(n0_0()),c_1(n2_0())),boatoneast_0()) ....... U5
% banks_3(west_2(m_1(n3_0()), c_1(n2_0())), east_2(m_1(n0_0()), c_1(n1_0())), boatonwest_0()) ....... R1 [B23:L0, U5:L0]
% Derivation of unit clause U10:
% ~banks_3(west_2(m_1(n0_0()),c_1(n3_0())),east_2(m_1(n3_0()),c_1(n0_0())),boatonwest_0()) | banks_3(west_2(m_1(n0_0()),c_1(n1_0())),east_2(m_1(n3_0()),c_1(n2_0())),boatoneast_0()) ....... B3
% ~banks_3(west_2(m_1(n0_0()),c_1(n1_0())),east_2(m_1(n3_0()),c_1(n2_0())),boatoneast_0()) | banks_3(west_2(m_1(n0_0()),c_1(n2_0())),east_2(m_1(n3_0()),c_1(n1_0())),boatonwest_0()) ....... B10
% ~banks_3(west_2(m_1(n0_0()), c_1(n3_0())), east_2(m_1(n3_0()), c_1(n0_0())), boatonwest_0()) | banks_3(west_2(m_1(n0_0()), c_1(n2_0())), east_2(m_1(n3_0()), c_1(n1_0())), boatonwest_0()) ....... R1 [B3:L1, B10:L0]
% ~banks_3(west_2(m_1(n0_0()),c_1(n2_0())),east_2(m_1(n3_0()),c_1(n1_0())),boatonwest_0()) ....... U2
% ~banks_3(west_2(m_1(n0_0()), c_1(n3_0())), east_2(m_1(n3_0()), c_1(n0_0())), boatonwest_0()) ....... R2 [R1:L1, U2:L0]
% Derivation of unit clause U11:
% ~banks_3(west_2(m_1(n0_0()),c_1(n2_0())),east_2(m_1(n3_0()),c_1(n1_0())),boatoneast_0()) | banks_3(west_2(m_1(n0_0()),c_1(n3_0())),east_2(m_1(n3_0()),c_1(n0_0())),boatonwest_0()) ....... B6
% ~banks_3(west_2(m_1(n2_0()),c_1(n2_0())),east_2(m_1(n1_0()),c_1(n1_0())),boatonwest_0()) | banks_3(west_2(m_1(n0_0()),c_1(n2_0())),east_2(m_1(n3_0()),c_1(n1_0())),boatoneast_0()) ....... B24
% banks_3(west_2(m_1(n0_0()), c_1(n3_0())), east_2(m_1(n3_0()), c_1(n0_0())), boatonwest_0()) | ~banks_3(west_2(m_1(n2_0()), c_1(n2_0())), east_2(m_1(n1_0()), c_1(n1_0())), boatonwest_0()) ....... R1 [B6:L0, B24:L1]
% ~banks_3(west_2(m_1(n0_0()),c_1(n3_0())),east_2(m_1(n3_0()),c_1(n0_0())),boatonwest_0()) ....... U10
% ~banks_3(west_2(m_1(n2_0()), c_1(n2_0())), east_2(m_1(n1_0()), c_1(n1_0())), boatonwest_0()) ....... R2 [R1:L0, U10:L0]
% Derivation of unit clause U12:
% ~banks_3(west_2(m_1(n3_0()),c_1(n0_0())),east_2(m_1(n0_0()),c_1(n3_0())),boatoneast_0()) | banks_3(west_2(m_1(n3_0()),c_1(n1_0())),east_2(m_1(n0_0()),c_1(n2_0())),boatonwest_0()) ....... B13
% ~banks_3(west_2(m_1(n3_0()),c_1(n2_0())),east_2(m_1(n0_0()),c_1(n1_0())),boatonwest_0()) | banks_3(west_2(m_1(n3_0()),c_1(n0_0())),east_2(m_1(n0_0()),c_1(n3_0())),boatoneast_0()) ....... B16
% banks_3(west_2(m_1(n3_0()), c_1(n1_0())), east_2(m_1(n0_0()), c_1(n2_0())), boatonwest_0()) | ~banks_3(west_2(m_1(n3_0()), c_1(n2_0())), east_2(m_1(n0_0()), c_1(n1_0())), boatonwest_0()) ....... R1 [B13:L0, B16:L1]
% banks_3(west_2(m_1(n3_0()),c_1(n2_0())),east_2(m_1(n0_0()),c_1(n1_0())),boatonwest_0()) ....... U8
% banks_3(west_2(m_1(n3_0()), c_1(n1_0())), east_2(m_1(n0_0()), c_1(n2_0())), boatonwest_0()) ....... R2 [R1:L1, U8:L0]
% Derivation of unit clause U14:
% ~banks_3(west_2(m_1(n3_0()),c_1(n1_0())),east_2(m_1(n0_0()),c_1(n2_0())),boatonwest_0()) | banks_3(west_2(m_1(n1_0()),c_1(n1_0())),east_2(m_1(n2_0()),c_1(n2_0())),boatoneast_0()) ....... B21
% ~banks_3(west_2(m_1(n1_0()),c_1(n1_0())),east_2(m_1(n2_0()),c_1(n2_0())),boatoneast_0()) | banks_3(west_2(m_1(n2_0()),c_1(n2_0())),east_2(m_1(n1_0()),c_1(n1_0())),boatonwest_0()) ....... B31
% ~banks_3(west_2(m_1(n3_0()), c_1(n1_0())), east_2(m_1(n0_0()), c_1(n2_0())), boatonwest_0()) | banks_3(west_2(m_1(n2_0()), c_1(n2_0())), east_2(m_1(n1_0()), c_1(n1_0())), boatonwest_0()) ....... R1 [B21:L1, B31:L0]
% banks_3(west_2(m_1(n3_0()),c_1(n1_0())),east_2(m_1(n0_0()),c_1(n2_0())),boatonwest_0()) ....... U12
% banks_3(west_2(m_1(n2_0()), c_1(n2_0())), east_2(m_1(n1_0()), c_1(n1_0())), boatonwest_0()) ....... R2 [R1:L0, U12:L0]
% Derivation of the empty clause:
% banks_3(west_2(m_1(n2_0()),c_1(n2_0())),east_2(m_1(n1_0()),c_1(n1_0())),boatonwest_0()) ....... U14
% ~banks_3(west_2(m_1(n2_0()),c_1(n2_0())),east_2(m_1(n1_0()),c_1(n1_0())),boatonwest_0()) ....... U11
% [] ....... R1 [U14:L0, U11:L0]
% --------------- End of Proof ---------------
% PROOF FOUND!
% ---------------------------------------------
% | Statistics |
% ---------------------------------------------
% Profile 3: Performance Statistics:
% ==================================
% Total number of generated clauses: 426
% resolvents: 426 factors: 0
% Number of unit clauses generated: 78
% % unit clauses generated to total clauses generated: 18.31
% Number of unit clauses constructed and retained at depth [x]:
% =============================================================
% [0] = 2 [1] = 7 [2] = 6
% Total = 15
% Number of generated clauses having [x] literals:
% ------------------------------------------------
% [1] = 78 [2] = 348
% Average size of a generated clause: 2.0
% Number of unit clauses per predicate list:
% ==========================================
% [0] banks_3 (+)7 (-)8
% ------------------
% Total: (+)7 (-)8
% Total number of unit clauses retained: 15
% Number of clauses skipped because of their length: 0
% N base clauses skippped in resolve-with-all-base-clauses
% because of the shortest resolvents table: 0
% Number of successful unifications: 437
% Number of unification failures: 0
% Number of unit to unit unification failures: 55
% N literal unification failure due to lookup root_id table: 1889
% N base clause resolution failure due to lookup table: 3810
% N UC-BCL resolution dropped due to lookup table: 0
% Max entries in substitution set: 0
% N unit clauses dropped because they exceeded max values: 44
% N unit clauses dropped because too much nesting: 0
% N unit clauses not constrcuted because table was full: 0
% N unit clauses dropped because UCFA table was full: 0
% Max number of terms in a unit clause: 11
% Max term depth in a unit clause: 3
% Number of states in UCFA table: 85
% Total number of terms of all unit clauses in table: 165
% Max allowed number of states in UCFA: 176000
% Ratio n states used/total allowed states: 0.00
% Ratio n states used/total unit clauses terms: 0.52
% Number of symbols (columns) in UCFA: 45
% Profile 2: Number of calls to:
% ==============================
% PTUnify() = 437
% ConstructUnitClause() = 57
% Profile 1: Time spent in:
% =========================
% ConstructUnitClause() : 0.00 secs
% --------------------------------------------------------
% | |
% Inferences per sec: inf
% | |
% --------------------------------------------------------
% Elapsed time: 0 secs
% CPU time: 0.19 secs
%
%------------------------------------------------------------------------------