TSTP Solution File: SYN328-1 by CARINE---0.734
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : CARINE---0.734
% Problem : SYN328-1 : TPTP v5.0.0. Released v1.2.0.
% Transfm : add_equality
% Format : carine
% Command : carine %s t=%d xo=off uct=32000
% Computer : art01.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 08:56:00 EST 2010
% Result : Unsatisfiable 0.24s
% Output : Refutation 0.24s
% 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/SystemOnTPTP17689/SYN/SYN328-1+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 = 1 secs [nr = 5] [nf = 0] [nu = 0] [ut = 0]
% Looking for a proof at depth = 2 ...
% t = 1 secs [nr = 56] [nf = 0] [nu = 0] [ut = 0]
% Looking for a proof at depth = 3 ...
% t = 1 secs [nr = 313] [nf = 7] [nu = 0] [ut = 0]
% Looking for a proof at depth = 4 ...
% t = 1 secs [nr = 1488] [nf = 56] [nu = 0] [ut = 0]
% Looking for a proof at depth = 5 ...
% t = 1 secs [nr = 5884] [nf = 247] [nu = 0] [ut = 0]
% Looking for a proof at depth = 6 ...
% t = 1 secs [nr = 20631] [nf = 919] [nu = 0] [ut = 0]
% Looking for a proof at depth = 7 ...
% +================================================+
% | |
% | Congratulations!!! ........ A proof was found. |
% | |
% +================================================+
% Base Clauses and Unit Clauses used in proof:
% ============================================
% Base Clauses:
% -------------
% B2: ~g_1(y_1(x0)) | f_1(x0)
% B3: ~h_1(y_1(x0)) | g_1(x0)
% B7: ~f_1(y_1(x0)) | ~g_1(x0) | h_1(y_1(x0))
% B9: ~f_1(y_1(x0)) | g_1(y_1(x0)) | h_1(x0)
% B10: ~f_1(z_1(x0)) | ~g_1(z_1(x0)) | ~h_1(z_1(x0))
% Unit Clauses:
% --------------
% U0: < d7 v1 dv1 f3 c0 t4 td4 > ~h_1(y_1(y_1(z_1(x0))))
% U1: < d7 v1 dv1 f3 c0 t4 td4 > f_1(y_1(y_1(z_1(x0))))
% U2: < d7 v1 dv1 f3 c0 t4 td4 > ~g_1(y_1(y_1(z_1(x0))))
% U5: < d7 v1 dv1 f2 c0 t3 td3 > h_1(y_1(z_1(x0)))
% U6: < d7 v1 dv1 f1 c0 t2 td2 > f_1(z_1(x0))
% U7: < d7 v1 dv1 f2 c0 t3 td3 > f_1(y_1(z_1(x0)))
% U8: < d7 v1 dv1 f2 c0 t3 td3 > g_1(y_1(z_1(x0)))
% U9: < d7 v1 dv1 f3 c0 t4 td4 > g_1(y_1(y_1(z_1(x0))))
% --------------- Start of Proof ---------------
% Derivation of unit clause U0:
% ~g_1(y_1(x0)) | f_1(x0) ....... B2
% ~h_1(y_1(x0)) | g_1(x0) ....... B3
% f_1(x0) | ~h_1(y_1(y_1(x0))) ....... R1 [B2:L0, B3:L1]
% ~f_1(z_1(x0)) | ~g_1(z_1(x0)) | ~h_1(z_1(x0)) ....... B10
% ~h_1(y_1(y_1(z_1(x0)))) | ~g_1(z_1(x0)) | ~h_1(z_1(x0)) ....... R2 [R1:L0, B10:L0]
% ~h_1(y_1(x0)) | g_1(x0) ....... B3
% ~h_1(y_1(y_1(z_1(x0)))) | ~h_1(z_1(x0)) | ~h_1(y_1(z_1(x0))) ....... R3 [R2:L1, B3:L1]
% ~h_1(y_1(x0)) | h_1(x0) ....... B4
% ~h_1(y_1(y_1(z_1(x0)))) | ~h_1(y_1(z_1(x0))) | ~h_1(y_1(z_1(x0))) ....... R4 [R3:L1, B4:L1]
% ~h_1(y_1(y_1(z_1(x0)))) | ~h_1(y_1(z_1(x0))) ....... R5 [R4:L1, R4:L2]
% ~h_1(y_1(x0)) | h_1(x0) ....... B4
% ~h_1(y_1(y_1(z_1(x0)))) | ~h_1(y_1(y_1(z_1(x0)))) ....... R6 [R5:L1, B4:L1]
% ~h_1(y_1(y_1(z_1(x0)))) ....... R7 [R6:L0, R6:L1]
% Derivation of unit clause U1:
% ~g_1(y_1(x0)) | f_1(x0) ....... B2
% ~f_1(y_1(x0)) | ~g_1(x0) | h_1(y_1(x0)) ....... B7
% ~g_1(y_1(y_1(x0))) | ~g_1(x0) | h_1(y_1(x0)) ....... R1 [B2:L1, B7:L0]
% ~h_1(y_1(y_1(z_1(x0)))) ....... U0
% ~g_1(y_1(y_1(y_1(z_1(x0))))) | ~g_1(y_1(z_1(x0))) ....... R2 [R1:L2, U0:L0]
% f_1(y_1(x0)) | g_1(x0) ....... B1
% ~g_1(y_1(y_1(y_1(z_1(x0))))) | f_1(y_1(y_1(z_1(x0)))) ....... R3 [R2:L1, B1:L1]
% ~f_1(y_1(x0)) | g_1(y_1(x0)) | h_1(x0) ....... B9
% f_1(y_1(y_1(z_1(x0)))) | ~f_1(y_1(y_1(y_1(z_1(x0))))) | h_1(y_1(y_1(z_1(x0)))) ....... R4 [R3:L0, B9:L1]
% ~h_1(y_1(y_1(z_1(x0)))) ....... U0
% f_1(y_1(y_1(z_1(x0)))) | ~f_1(y_1(y_1(y_1(z_1(x0))))) ....... R5 [R4:L2, U0:L0]
% f_1(y_1(x0)) | f_1(x0) ....... B0
% f_1(y_1(y_1(z_1(x0)))) | f_1(y_1(y_1(z_1(x0)))) ....... R6 [R5:L1, B0:L0]
% f_1(y_1(y_1(z_1(x0)))) ....... R7 [R6:L0, R6:L1]
% Derivation of unit clause U2:
% ~g_1(y_1(x0)) | f_1(x0) ....... B2
% ~f_1(y_1(x0)) | g_1(y_1(x0)) | h_1(x0) ....... B9
% f_1(x0) | ~f_1(y_1(x0)) | h_1(x0) ....... R1 [B2:L0, B9:L1]
% f_1(y_1(x0)) | f_1(x0) ....... B0
% f_1(x0) | h_1(x0) | f_1(x0) ....... R2 [R1:L1, B0:L0]
% h_1(x0) | f_1(x0) ....... R3 [R2:L0, R2:L2]
% ~f_1(y_1(x0)) | ~g_1(x0) | h_1(y_1(x0)) ....... B7
% h_1(y_1(x0)) | ~g_1(x0) | h_1(y_1(x0)) ....... R4 [R3:L1, B7:L0]
% ~g_1(x0) | h_1(y_1(x0)) ....... R5 [R4:L0, R4:L2]
% ~h_1(y_1(x0)) | h_1(x0) ....... B4
% ~g_1(x0) | h_1(x0) ....... R6 [R5:L1, B4:L0]
% ~h_1(y_1(y_1(z_1(x0)))) ....... U0
% ~g_1(y_1(y_1(z_1(x0)))) ....... R7 [R6:L1, U0:L0]
% Derivation of unit clause U5:
% ~g_1(y_1(x0)) | f_1(x0) ....... B2
% ~f_1(y_1(x0)) | g_1(y_1(x0)) | h_1(x0) ....... B9
% f_1(x0) | ~f_1(y_1(x0)) | h_1(x0) ....... R1 [B2:L0, B9:L1]
% f_1(y_1(x0)) | f_1(x0) ....... B0
% f_1(x0) | h_1(x0) | f_1(x0) ....... R2 [R1:L1, B0:L0]
% h_1(x0) | f_1(x0) ....... R3 [R2:L0, R2:L2]
% ~f_1(y_1(x0)) | g_1(y_1(x0)) | h_1(x0) ....... B9
% h_1(y_1(x0)) | g_1(y_1(x0)) | h_1(x0) ....... R4 [R3:L1, B9:L0]
% ~g_1(y_1(y_1(z_1(x0)))) ....... U2
% h_1(y_1(y_1(z_1(x0)))) | h_1(y_1(z_1(x0))) ....... R5 [R4:L1, U2:L0]
% ~h_1(y_1(x0)) | h_1(x0) ....... B4
% h_1(y_1(z_1(x0))) | h_1(y_1(z_1(x0))) ....... R6 [R5:L0, B4:L0]
% h_1(y_1(z_1(x0))) ....... R7 [R6:L0, R6:L1]
% Derivation of unit clause U6:
% ~g_1(y_1(x0)) | f_1(x0) ....... B2
% ~f_1(y_1(x0)) | g_1(y_1(x0)) | h_1(x0) ....... B9
% f_1(x0) | ~f_1(y_1(x0)) | h_1(x0) ....... R1 [B2:L0, B9:L1]
% f_1(y_1(x0)) | g_1(x0) ....... B1
% f_1(x0) | h_1(x0) | g_1(x0) ....... R2 [R1:L1, B1:L0]
% ~h_1(y_1(y_1(z_1(x0)))) ....... U0
% f_1(y_1(y_1(z_1(x0)))) | g_1(y_1(y_1(z_1(x0)))) ....... R3 [R2:L1, U0:L0]
% ~f_1(x0) | ~f_1(y_1(x0)) | g_1(y_1(x0)) ....... B5
% g_1(y_1(y_1(z_1(x0)))) | ~f_1(y_1(z_1(x0))) | g_1(y_1(y_1(z_1(x0)))) ....... R4 [R3:L0, B5:L1]
% ~f_1(y_1(z_1(x0))) | g_1(y_1(y_1(z_1(x0)))) ....... R5 [R4:L0, R4:L2]
% f_1(y_1(x0)) | f_1(x0) ....... B0
% g_1(y_1(y_1(z_1(x0)))) | f_1(z_1(x0)) ....... R6 [R5:L0, B0:L0]
% ~g_1(y_1(y_1(z_1(x0)))) ....... U2
% f_1(z_1(x0)) ....... R7 [R6:L0, U2:L0]
% Derivation of unit clause U7:
% ~g_1(y_1(x0)) | f_1(x0) ....... B2
% ~f_1(y_1(x0)) | g_1(y_1(x0)) | h_1(x0) ....... B9
% f_1(x0) | ~f_1(y_1(x0)) | h_1(x0) ....... R1 [B2:L0, B9:L1]
% ~h_1(y_1(x0)) | g_1(x0) ....... B3
% f_1(y_1(x0)) | ~f_1(y_1(y_1(x0))) | g_1(x0) ....... R2 [R1:L2, B3:L0]
% f_1(y_1(y_1(z_1(x0)))) ....... U1
% f_1(y_1(z_1(x0))) | g_1(z_1(x0)) ....... R3 [R2:L1, U1:L0]
% ~f_1(z_1(x0)) | ~g_1(z_1(x0)) | ~h_1(z_1(x0)) ....... B10
% f_1(y_1(z_1(x0))) | ~f_1(z_1(x0)) | ~h_1(z_1(x0)) ....... R4 [R3:L1, B10:L1]
% f_1(z_1(x0)) ....... U6
% f_1(y_1(z_1(x0))) | ~h_1(z_1(x0)) ....... R5 [R4:L1, U6:L0]
% ~h_1(y_1(x0)) | h_1(x0) ....... B4
% f_1(y_1(z_1(x0))) | ~h_1(y_1(z_1(x0))) ....... R6 [R5:L1, B4:L1]
% h_1(y_1(z_1(x0))) ....... U5
% f_1(y_1(z_1(x0))) ....... R7 [R6:L1, U5:L0]
% Derivation of unit clause U8:
% ~g_1(y_1(x0)) | f_1(x0) ....... B2
% ~f_1(y_1(x0)) | g_1(y_1(x0)) | h_1(x0) ....... B9
% f_1(x0) | ~f_1(y_1(x0)) | h_1(x0) ....... R1 [B2:L0, B9:L1]
% ~h_1(y_1(x0)) | g_1(x0) ....... B3
% f_1(y_1(x0)) | ~f_1(y_1(y_1(x0))) | g_1(x0) ....... R2 [R1:L2, B3:L0]
% f_1(y_1(x0)) | f_1(x0) ....... B0
% f_1(y_1(x0)) | g_1(x0) | f_1(y_1(x0)) ....... R3 [R2:L1, B0:L0]
% g_1(x0) | f_1(y_1(x0)) ....... R4 [R3:L0, R3:L2]
% ~f_1(x0) | ~f_1(y_1(x0)) | g_1(y_1(x0)) ....... B5
% g_1(x0) | ~f_1(x0) | g_1(y_1(x0)) ....... R5 [R4:L1, B5:L1]
% f_1(y_1(z_1(x0))) ....... U7
% g_1(y_1(z_1(x0))) | g_1(y_1(y_1(z_1(x0)))) ....... R6 [R5:L1, U7:L0]
% ~g_1(y_1(y_1(z_1(x0)))) ....... U2
% g_1(y_1(z_1(x0))) ....... R7 [R6:L1, U2:L0]
% Derivation of unit clause U9:
% ~g_1(y_1(x0)) | f_1(x0) ....... B2
% ~f_1(z_1(x0)) | ~g_1(z_1(x0)) | ~h_1(z_1(x0)) ....... B10
% ~g_1(y_1(z_1(x0))) | ~g_1(z_1(x0)) | ~h_1(z_1(x0)) ....... R1 [B2:L1, B10:L0]
% g_1(y_1(z_1(x0))) ....... U8
% ~g_1(z_1(x0)) | ~h_1(z_1(x0)) ....... R2 [R1:L0, U8:L0]
% f_1(y_1(x0)) | g_1(x0) ....... B1
% ~h_1(z_1(x0)) | f_1(y_1(z_1(x0))) ....... R3 [R2:L0, B1:L1]
% ~h_1(y_1(x0)) | h_1(x0) ....... B4
% f_1(y_1(z_1(x0))) | ~h_1(y_1(z_1(x0))) ....... R4 [R3:L0, B4:L1]
% ~f_1(x0) | ~f_1(y_1(x0)) | g_1(y_1(x0)) ....... B5
% ~h_1(y_1(z_1(x0))) | ~f_1(y_1(y_1(z_1(x0)))) | g_1(y_1(y_1(z_1(x0)))) ....... R5 [R4:L0, B5:L0]
% h_1(y_1(z_1(x0))) ....... U5
% ~f_1(y_1(y_1(z_1(x0)))) | g_1(y_1(y_1(z_1(x0)))) ....... R6 [R5:L0, U5:L0]
% f_1(y_1(y_1(z_1(x0)))) ....... U1
% g_1(y_1(y_1(z_1(x0)))) ....... R7 [R6:L0, U1:L0]
% Derivation of the empty clause:
% g_1(y_1(y_1(z_1(x0)))) ....... U9
% ~g_1(y_1(y_1(z_1(x0)))) ....... U2
% [] ....... R1 [U9:L0, U2:L0]
% --------------- End of Proof ---------------
% PROOF FOUND!
% ---------------------------------------------
% | Statistics |
% ---------------------------------------------
% Profile 3: Performance Statistics:
% ==================================
% Total number of generated clauses: 56445
% resolvents: 54313 factors: 2132
% Number of unit clauses generated: 337
% % unit clauses generated to total clauses generated: 0.60
% Number of unit clauses constructed and retained at depth [x]:
% =============================================================
% [7] = 10
% Total = 10
% Number of generated clauses having [x] literals:
% ------------------------------------------------
% [1] = 337 [2] = 9917 [3] = 46191
% Average size of a generated clause: 3.0
% Number of unit clauses per predicate list:
% ==========================================
% [0] f_1 (+)3 (-)0
% [1] g_1 (+)3 (-)1
% [2] h_1 (+)2 (-)1
% ------------------
% Total: (+)8 (-)2
% Total number of unit clauses retained: 10
% Number of clauses skipped because of their length: 49058
% N base clauses skippped in resolve-with-all-base-clauses
% because of the shortest resolvents table: 9824
% Number of successful unifications: 56501
% Number of unification failures: 21797
% Number of unit to unit unification failures: 4
% N literal unification failure due to lookup root_id table: 177004
% N base clause resolution failure due to lookup table: 108690
% N UC-BCL resolution dropped due to lookup table: 0
% Max entries in substitution set: 7
% N unit clauses dropped because they exceeded max values: 275
% N unit clauses dropped because too much nesting: 83
% 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: 4
% Max term depth in a unit clause: 4
% Number of states in UCFA table: 27
% Total number of terms of all unit clauses in table: 31
% 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: 0.87
% Number of symbols (columns) in UCFA: 39
% Profile 2: Number of calls to:
% ==============================
% PTUnify() = 78298
% ConstructUnitClause() = 285
% Profile 1: Time spent in:
% =========================
% ConstructUnitClause() : 0.00 secs
% --------------------------------------------------------
% | |
% Inferences per sec: inf
% | |
% --------------------------------------------------------
% Elapsed time: 1 secs
% CPU time: 0.24 secs
%
%------------------------------------------------------------------------------