TSTP Solution File: SYN004-1.007 by CARINE---0.734
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- Process Solution
%------------------------------------------------------------------------------
% File : CARINE---0.734
% Problem : SYN004-1.007 : TPTP v5.0.0. Released v1.0.0.
% Transfm : add_equality
% Format : carine
% Command : carine %s t=%d xo=off uct=32000
% Computer : art09.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 08:21:46 EST 2010
% Result : Unsatisfiable 0.19s
% Output : Refutation 0.19s
% 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/SystemOnTPTP30436/SYN/SYN004-1.007+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 = 4] [nf = 0] [nu = 0] [ut = 2]
% Looking for a proof at depth = 2 ...
% t = 0 secs [nr = 22] [nf = 0] [nu = 4] [ut = 4]
% Looking for a proof at depth = 3 ...
% t = 0 secs [nr = 48] [nf = 0] [nu = 8] [ut = 4]
% Looking for a proof at depth = 4 ...
% t = 0 secs [nr = 110] [nf = 0] [nu = 28] [ut = 6]
% Looking for a proof at depth = 5 ...
% t = 0 secs [nr = 212] [nf = 0] [nu = 48] [ut = 6]
% Looking for a proof at depth = 6 ...
% t = 0 secs [nr = 478] [nf = 0] [nu = 148] [ut = 8]
% Looking for a proof at depth = 7 ...
% t = 0 secs [nr = 952] [nf = 0] [nu = 248] [ut = 8]
% Looking for a proof at depth = 8 ...
% t = 0 secs [nr = 2262] [nf = 0] [nu = 764] [ut = 10]
% Looking for a proof at depth = 9 ...
% t = 0 secs [nr = 4724] [nf = 0] [nu = 1280] [ut = 10]
% Looking for a proof at depth = 10 ...
% t = 0 secs [nr = 16874] [nf = 244] [nu = 6128] [ut = 12]
% Looking for a proof at depth = 11 ...
% +================================================+
% | |
% | Congratulations!!! ........ A proof was found. |
% | |
% +================================================+
% Base Clauses and Unit Clauses used in proof:
% ============================================
% Base Clauses:
% -------------
% B0: p_1
% B2: ~p_1 | ~q_1 | p_2
% B3: ~p_1 | ~q_1 | q_2
% B12: ~p_6 | ~q_6 | p_7
% B14: ~p_7 | ~q_7
% Unit Clauses:
% --------------
% U1: < d0 v0 dv0 f0 c0 t0 td0 b nc > q_1
% U3: < d2 v0 dv0 f0 c0 t0 td0 > q_2
% U4: < d4 v0 dv0 f0 c0 t0 td0 > p_3
% U5: < d4 v0 dv0 f0 c0 t0 td0 > q_3
% U6: < d6 v0 dv0 f0 c0 t0 td0 > p_4
% U7: < d6 v0 dv0 f0 c0 t0 td0 > q_4
% U8: < d8 v0 dv0 f0 c0 t0 td0 > p_5
% U9: < d8 v0 dv0 f0 c0 t0 td0 > q_5
% U10: < d10 v0 dv0 f0 c0 t0 td0 > p_6
% U11: < d10 v0 dv0 f0 c0 t0 td0 > q_6
% U13: < d11 v0 dv0 f0 c0 t0 td0 > ~q_6
% --------------- Start of Proof ---------------
% Derivation of unit clause U1:
% q_1 ....... U1
% Derivation of unit clause U3:
% p_1 ....... B0
% ~p_1 | ~q_1 | q_2 ....... B3
% ~q_1 | q_2 ....... R1 [B0:L0, B3:L0]
% q_1 ....... U1
% q_2 ....... R2 [R1:L0, U1:L0]
% Derivation of unit clause U4:
% p_1 ....... B0
% ~p_1 | ~q_1 | p_2 ....... B2
% ~q_1 | p_2 ....... R1 [B0:L0, B2:L0]
% ~p_2 | ~q_2 | p_3 ....... B4
% ~q_1 | ~q_2 | p_3 ....... R2 [R1:L1, B4:L0]
% q_1 ....... U1
% ~q_2 | p_3 ....... R3 [R2:L0, U1:L0]
% q_2 ....... U3
% p_3 ....... R4 [R3:L0, U3:L0]
% Derivation of unit clause U5:
% p_1 ....... B0
% ~p_1 | ~q_1 | p_2 ....... B2
% ~q_1 | p_2 ....... R1 [B0:L0, B2:L0]
% ~p_2 | ~q_2 | q_3 ....... B5
% ~q_1 | ~q_2 | q_3 ....... R2 [R1:L1, B5:L0]
% q_1 ....... U1
% ~q_2 | q_3 ....... R3 [R2:L0, U1:L0]
% q_2 ....... U3
% q_3 ....... R4 [R3:L0, U3:L0]
% Derivation of unit clause U6:
% p_1 ....... B0
% ~p_1 | ~q_1 | p_2 ....... B2
% ~q_1 | p_2 ....... R1 [B0:L0, B2:L0]
% ~p_2 | ~q_2 | p_3 ....... B4
% ~q_1 | ~q_2 | p_3 ....... R2 [R1:L1, B4:L0]
% q_1 ....... U1
% ~q_2 | p_3 ....... R3 [R2:L0, U1:L0]
% ~p_3 | ~q_3 | p_4 ....... B6
% ~q_2 | ~q_3 | p_4 ....... R4 [R3:L1, B6:L0]
% q_2 ....... U3
% ~q_3 | p_4 ....... R5 [R4:L0, U3:L0]
% q_3 ....... U5
% p_4 ....... R6 [R5:L0, U5:L0]
% Derivation of unit clause U7:
% p_1 ....... B0
% ~p_1 | ~q_1 | p_2 ....... B2
% ~q_1 | p_2 ....... R1 [B0:L0, B2:L0]
% ~p_2 | ~q_2 | p_3 ....... B4
% ~q_1 | ~q_2 | p_3 ....... R2 [R1:L1, B4:L0]
% q_1 ....... U1
% ~q_2 | p_3 ....... R3 [R2:L0, U1:L0]
% ~p_3 | ~q_3 | q_4 ....... B7
% ~q_2 | ~q_3 | q_4 ....... R4 [R3:L1, B7:L0]
% q_2 ....... U3
% ~q_3 | q_4 ....... R5 [R4:L0, U3:L0]
% q_3 ....... U5
% q_4 ....... R6 [R5:L0, U5:L0]
% Derivation of unit clause U8:
% p_1 ....... B0
% ~p_1 | ~q_1 | p_2 ....... B2
% ~q_1 | p_2 ....... R1 [B0:L0, B2:L0]
% ~p_2 | ~q_2 | p_3 ....... B4
% ~q_1 | ~q_2 | p_3 ....... R2 [R1:L1, B4:L0]
% q_1 ....... U1
% ~q_2 | p_3 ....... R3 [R2:L0, U1:L0]
% ~p_3 | ~q_3 | p_4 ....... B6
% ~q_2 | ~q_3 | p_4 ....... R4 [R3:L1, B6:L0]
% q_2 ....... U3
% ~q_3 | p_4 ....... R5 [R4:L0, U3:L0]
% ~p_4 | ~q_4 | p_5 ....... B8
% ~q_3 | ~q_4 | p_5 ....... R6 [R5:L1, B8:L0]
% q_3 ....... U5
% ~q_4 | p_5 ....... R7 [R6:L0, U5:L0]
% q_4 ....... U7
% p_5 ....... R8 [R7:L0, U7:L0]
% Derivation of unit clause U9:
% p_1 ....... B0
% ~p_1 | ~q_1 | p_2 ....... B2
% ~q_1 | p_2 ....... R1 [B0:L0, B2:L0]
% ~p_2 | ~q_2 | p_3 ....... B4
% ~q_1 | ~q_2 | p_3 ....... R2 [R1:L1, B4:L0]
% q_1 ....... U1
% ~q_2 | p_3 ....... R3 [R2:L0, U1:L0]
% ~p_3 | ~q_3 | p_4 ....... B6
% ~q_2 | ~q_3 | p_4 ....... R4 [R3:L1, B6:L0]
% q_2 ....... U3
% ~q_3 | p_4 ....... R5 [R4:L0, U3:L0]
% ~p_4 | ~q_4 | q_5 ....... B9
% ~q_3 | ~q_4 | q_5 ....... R6 [R5:L1, B9:L0]
% q_3 ....... U5
% ~q_4 | q_5 ....... R7 [R6:L0, U5:L0]
% q_4 ....... U7
% q_5 ....... R8 [R7:L0, U7:L0]
% Derivation of unit clause U10:
% p_1 ....... B0
% ~p_1 | ~q_1 | p_2 ....... B2
% ~q_1 | p_2 ....... R1 [B0:L0, B2:L0]
% ~p_2 | ~q_2 | p_3 ....... B4
% ~q_1 | ~q_2 | p_3 ....... R2 [R1:L1, B4:L0]
% q_1 ....... U1
% ~q_2 | p_3 ....... R3 [R2:L0, U1:L0]
% ~p_3 | ~q_3 | p_4 ....... B6
% ~q_2 | ~q_3 | p_4 ....... R4 [R3:L1, B6:L0]
% q_2 ....... U3
% ~q_3 | p_4 ....... R5 [R4:L0, U3:L0]
% ~p_4 | ~q_4 | p_5 ....... B8
% ~q_3 | ~q_4 | p_5 ....... R6 [R5:L1, B8:L0]
% q_3 ....... U5
% ~q_4 | p_5 ....... R7 [R6:L0, U5:L0]
% ~p_5 | ~q_5 | p_6 ....... B10
% ~q_4 | ~q_5 | p_6 ....... R8 [R7:L1, B10:L0]
% q_4 ....... U7
% ~q_5 | p_6 ....... R9 [R8:L0, U7:L0]
% q_5 ....... U9
% p_6 ....... R10 [R9:L0, U9:L0]
% Derivation of unit clause U11:
% p_1 ....... B0
% ~p_1 | ~q_1 | p_2 ....... B2
% ~q_1 | p_2 ....... R1 [B0:L0, B2:L0]
% ~p_2 | ~q_2 | p_3 ....... B4
% ~q_1 | ~q_2 | p_3 ....... R2 [R1:L1, B4:L0]
% q_1 ....... U1
% ~q_2 | p_3 ....... R3 [R2:L0, U1:L0]
% ~p_3 | ~q_3 | p_4 ....... B6
% ~q_2 | ~q_3 | p_4 ....... R4 [R3:L1, B6:L0]
% q_2 ....... U3
% ~q_3 | p_4 ....... R5 [R4:L0, U3:L0]
% ~p_4 | ~q_4 | p_5 ....... B8
% ~q_3 | ~q_4 | p_5 ....... R6 [R5:L1, B8:L0]
% q_3 ....... U5
% ~q_4 | p_5 ....... R7 [R6:L0, U5:L0]
% ~p_5 | ~q_5 | q_6 ....... B11
% ~q_4 | ~q_5 | q_6 ....... R8 [R7:L1, B11:L0]
% q_4 ....... U7
% ~q_5 | q_6 ....... R9 [R8:L0, U7:L0]
% q_5 ....... U9
% q_6 ....... R10 [R9:L0, U9:L0]
% Derivation of unit clause U13:
% ~p_6 | ~q_6 | p_7 ....... B12
% ~p_7 | ~q_7 ....... B14
% ~p_6 | ~q_6 | ~q_7 ....... R1 [B12:L2, B14:L0]
% p_6 ....... U10
% ~q_6 | ~q_7 ....... R2 [R1:L0, U10:L0]
% ~p_5 | ~q_5 | q_6 ....... B11
% ~q_7 | ~p_5 | ~q_5 ....... R3 [R2:L0, B11:L2]
% p_5 ....... U8
% ~q_7 | ~q_5 ....... R4 [R3:L1, U8:L0]
% ~p_4 | ~q_4 | q_5 ....... B9
% ~q_7 | ~p_4 | ~q_4 ....... R5 [R4:L1, B9:L2]
% p_4 ....... U6
% ~q_7 | ~q_4 ....... R6 [R5:L1, U6:L0]
% ~p_3 | ~q_3 | q_4 ....... B7
% ~q_7 | ~p_3 | ~q_3 ....... R7 [R6:L1, B7:L2]
% p_3 ....... U4
% ~q_7 | ~q_3 ....... R8 [R7:L1, U4:L0]
% ~p_6 | ~q_6 | q_7 ....... B13
% ~q_3 | ~p_6 | ~q_6 ....... R9 [R8:L0, B13:L2]
% q_3 ....... U5
% ~p_6 | ~q_6 ....... R10 [R9:L0, U5:L0]
% p_6 ....... U10
% ~q_6 ....... R11 [R10:L0, U10:L0]
% Derivation of the empty clause:
% ~q_6 ....... U13
% q_6 ....... U11
% [] ....... R1 [U13:L0, U11:L0]
% --------------- End of Proof ---------------
% PROOF FOUND!
% ---------------------------------------------
% | Statistics |
% ---------------------------------------------
% Profile 3: Performance Statistics:
% ==================================
% Total number of generated clauses: 30736
% resolvents: 30492 factors: 244
% Number of unit clauses generated: 8955
% % unit clauses generated to total clauses generated: 29.14
% Number of unit clauses constructed and retained at depth [x]:
% =============================================================
% [0] = 2 [2] = 2 [4] = 2 [6] = 2 [8] = 2 [10] = 2 [11] = 2
% Total = 14
% Number of generated clauses having [x] literals:
% ------------------------------------------------
% [1] = 8955 [2] = 8293 [3] = 13488
% Average size of a generated clause: 3.0
% Number of unit clauses per predicate list:
% ==========================================
% [0] p_1 (+)1 (-)0
% [1] p_2 (+)1 (-)0
% [2] p_3 (+)1 (-)0
% [3] p_4 (+)1 (-)0
% [4] p_5 (+)1 (-)0
% [5] p_6 (+)1 (-)0
% [6] p_7 (+)0 (-)0
% [7] q_1 (+)1 (-)0
% [8] q_2 (+)1 (-)0
% [9] q_3 (+)1 (-)0
% [10] q_4 (+)1 (-)0
% [11] q_5 (+)1 (-)0
% [12] q_6 (+)1 (-)1
% [13] q_7 (+)0 (-)1
% ------------------
% Total: (+)12 (-)2
% Total number of unit clauses retained: 14
% Number of clauses skipped because of their length: 43562
% N base clauses skippped in resolve-with-all-base-clauses
% because of the shortest resolvents table: 0
% Number of successful unifications: 30805
% Number of unification failures: 0
% Number of unit to unit unification failures: 0
% N literal unification failure due to lookup root_id table: 102971
% N base clause resolution failure due to lookup table: 89796
% 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: 2811
% 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: 0
% Max term depth in a unit clause: 0
% Number of states in UCFA table: 3
% Total number of terms of all unit clauses in table: 0
% Max allowed number of states in UCFA: 80000
% Ratio n states used/total allowed states: 0.00
% Ratio n states used/total unit clauses terms: inf
% Number of symbols (columns) in UCFA: 48
% Profile 2: Number of calls to:
% ==============================
% PTUnify() = 30805
% ConstructUnitClause() = 2823
% Profile 1: Time spent in:
% =========================
% ConstructUnitClause() : 0.00 secs
% --------------------------------------------------------
% | |
% Inferences per sec: inf
% | |
% --------------------------------------------------------
% Elapsed time: 0 secs
% CPU time: 0.19 secs
%
%------------------------------------------------------------------------------