TSTP Solution File: COL102-2 by CARINE---0.734
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%------------------------------------------------------------------------------
% File : CARINE---0.734
% Problem : COL102-2 : TPTP v5.0.0. Released v3.2.0.
% Transfm : add_equality
% Format : carine
% Command : carine %s t=%d xo=off uct=32000
% Computer : art04.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 : Sat Nov 27 18:00:17 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/SystemOnTPTP15492/COL/COL102-2+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 = 32] [nf = 0] [nu = 24] [ut = 19]
% Looking for a proof at depth = 2 ...
% +================================================+
% | |
% | Congratulations!!! ........ A proof was found. |
% | |
% +================================================+
% Base Clauses and Unit Clauses used in proof:
% ============================================
% Base Clauses:
% -------------
% B0: c_in_3(c_Pair_4(v_y_0(),v_za_0(),tc_Comb_Ocomb_0(),tc_Comb_Ocomb_0()),c_Comb_Ocontract_0(),tc_prod_2(tc_Comb_Ocomb_0(),tc_Comb_Ocomb_0()))
% B1: c_in_3(c_Pair_4(c_Comb_Ocomb_Oop_A_D_D_2(v_x_0(),v_z_0()),c_Comb_Ocomb_Oop_A_D_D_2(v_y_0(),v_z_0()),tc_Comb_Ocomb_0(),tc_Comb_Ocomb_0()),c_Transitive__Closure_Ortrancl_2(c_Comb_Ocontract_0(),tc_Comb_Ocomb_0()),tc_prod_2(tc_Comb_Ocomb_0(),tc_Comb_Ocomb_0()))
% B3: ~c_in_3(x0,x1,tc_prod_2(x2,x2)) | c_in_3(x0,c_Transitive__Closure_Ortrancl_2(x1,x2),tc_prod_2(x2,x2))
% B4: ~c_in_3(c_Pair_4(x0,x1,tc_Comb_Ocomb_0(),tc_Comb_Ocomb_0()),c_Comb_Ocontract_0(),tc_prod_2(tc_Comb_Ocomb_0(),tc_Comb_Ocomb_0())) | c_in_3(c_Pair_4(c_Comb_Ocomb_Oop_A_D_D_2(x0,x2),c_Comb_Ocomb_Oop_A_D_D_2(x1,x2),tc_Comb_Ocomb_0(),tc_Comb_Ocomb_0()),c_Comb_Ocontract_0(),tc_prod_2(tc_Comb_Ocomb_0(),tc_Comb_Ocomb_0()))
% B5: ~c_in_3(c_Pair_4(x4,x0,x2,x2),c_Transitive__Closure_Ortrancl_2(x3,x2),tc_prod_2(x2,x2)) | ~c_in_3(c_Pair_4(x0,x1,x2,x2),c_Transitive__Closure_Ortrancl_2(x3,x2),tc_prod_2(x2,x2)) | c_in_3(c_Pair_4(x4,x1,x2,x2),c_Transitive__Closure_Ortrancl_2(x3,x2),tc_prod_2(x2,x2))
% Unit Clauses:
% --------------
% U2: < d0 v0 dv0 f5 c10 t15 td3 b nc > ~c_in_3(c_Pair_4(c_Comb_Ocomb_Oop_A_D_D_2(v_x_0(),v_z_0()),c_Comb_Ocomb_Oop_A_D_D_2(v_za_0(),v_z_0()),tc_Comb_Ocomb_0(),tc_Comb_Ocomb_0()),c_Transitive__Closure_Ortrancl_2(c_Comb_Ocontract_0(),tc_Comb_Ocomb_0()),tc_prod_2(tc_Comb_Ocomb_0(),tc_Comb_Ocomb_0()))
% U4: < d1 v2 dv1 f4 c7 t13 td3 > c_in_3(c_Pair_4(c_Comb_Ocomb_Oop_A_D_D_2(v_y_0(),x0),c_Comb_Ocomb_Oop_A_D_D_2(v_za_0(),x0),tc_Comb_Ocomb_0(),tc_Comb_Ocomb_0()),c_Comb_Ocontract_0(),tc_prod_2(tc_Comb_Ocomb_0(),tc_Comb_Ocomb_0()))
% U8: < d1 v2 dv1 f5 c8 t15 td3 > c_in_3(c_Pair_4(c_Comb_Ocomb_Oop_A_D_D_2(v_y_0(),x0),c_Comb_Ocomb_Oop_A_D_D_2(v_za_0(),x0),tc_Comb_Ocomb_0(),tc_Comb_Ocomb_0()),c_Transitive__Closure_Ortrancl_2(c_Comb_Ocontract_0(),tc_Comb_Ocomb_0()),tc_prod_2(tc_Comb_Ocomb_0(),tc_Comb_Ocomb_0()))
% U19: < d2 v0 dv0 f5 c10 t15 td3 > c_in_3(c_Pair_4(c_Comb_Ocomb_Oop_A_D_D_2(v_x_0(),v_z_0()),c_Comb_Ocomb_Oop_A_D_D_2(v_za_0(),v_z_0()),tc_Comb_Ocomb_0(),tc_Comb_Ocomb_0()),c_Transitive__Closure_Ortrancl_2(c_Comb_Ocontract_0(),tc_Comb_Ocomb_0()),tc_prod_2(tc_Comb_Ocomb_0(),tc_Comb_Ocomb_0()))
% --------------- Start of Proof ---------------
% Derivation of unit clause U2:
% ~c_in_3(c_Pair_4(c_Comb_Ocomb_Oop_A_D_D_2(v_x_0(),v_z_0()),c_Comb_Ocomb_Oop_A_D_D_2(v_za_0(),v_z_0()),tc_Comb_Ocomb_0(),tc_Comb_Ocomb_0()),c_Transitive__Closure_Ortrancl_2(c_Comb_Ocontract_0(),tc_Comb_Ocomb_0()),tc_prod_2(tc_Comb_Ocomb_0(),tc_Comb_Ocomb_0())) ....... U2
% Derivation of unit clause U4:
% c_in_3(c_Pair_4(v_y_0(),v_za_0(),tc_Comb_Ocomb_0(),tc_Comb_Ocomb_0()),c_Comb_Ocontract_0(),tc_prod_2(tc_Comb_Ocomb_0(),tc_Comb_Ocomb_0())) ....... B0
% ~c_in_3(c_Pair_4(x0,x1,tc_Comb_Ocomb_0(),tc_Comb_Ocomb_0()),c_Comb_Ocontract_0(),tc_prod_2(tc_Comb_Ocomb_0(),tc_Comb_Ocomb_0())) | c_in_3(c_Pair_4(c_Comb_Ocomb_Oop_A_D_D_2(x0,x2),c_Comb_Ocomb_Oop_A_D_D_2(x1,x2),tc_Comb_Ocomb_0(),tc_Comb_Ocomb_0()),c_Comb_Ocontract_0(),tc_prod_2(tc_Comb_Ocomb_0(),tc_Comb_Ocomb_0())) ....... B4
% c_in_3(c_Pair_4(c_Comb_Ocomb_Oop_A_D_D_2(v_y_0(), x0), c_Comb_Ocomb_Oop_A_D_D_2(v_za_0(), x0), tc_Comb_Ocomb_0(), tc_Comb_Ocomb_0()), c_Comb_Ocontract_0(), tc_prod_2(tc_Comb_Ocomb_0(), tc_Comb_Ocomb_0())) ....... R1 [B0:L0, B4:L0]
% Derivation of unit clause U8:
% ~c_in_3(x0,x1,tc_prod_2(x2,x2)) | c_in_3(x0,c_Transitive__Closure_Ortrancl_2(x1,x2),tc_prod_2(x2,x2)) ....... B3
% c_in_3(c_Pair_4(c_Comb_Ocomb_Oop_A_D_D_2(v_y_0(),x0),c_Comb_Ocomb_Oop_A_D_D_2(v_za_0(),x0),tc_Comb_Ocomb_0(),tc_Comb_Ocomb_0()),c_Comb_Ocontract_0(),tc_prod_2(tc_Comb_Ocomb_0(),tc_Comb_Ocomb_0())) ....... U4
% c_in_3(c_Pair_4(c_Comb_Ocomb_Oop_A_D_D_2(v_y_0(), x0), c_Comb_Ocomb_Oop_A_D_D_2(v_za_0(), x0), tc_Comb_Ocomb_0(), tc_Comb_Ocomb_0()), c_Transitive__Closure_Ortrancl_2(c_Comb_Ocontract_0(), tc_Comb_Ocomb_0()), tc_prod_2(tc_Comb_Ocomb_0(), tc_Comb_Ocomb_0())) ....... R1 [B3:L0, U4:L0]
% Derivation of unit clause U19:
% c_in_3(c_Pair_4(c_Comb_Ocomb_Oop_A_D_D_2(v_x_0(),v_z_0()),c_Comb_Ocomb_Oop_A_D_D_2(v_y_0(),v_z_0()),tc_Comb_Ocomb_0(),tc_Comb_Ocomb_0()),c_Transitive__Closure_Ortrancl_2(c_Comb_Ocontract_0(),tc_Comb_Ocomb_0()),tc_prod_2(tc_Comb_Ocomb_0(),tc_Comb_Ocomb_0())) ....... B1
% ~c_in_3(c_Pair_4(x4,x0,x2,x2),c_Transitive__Closure_Ortrancl_2(x3,x2),tc_prod_2(x2,x2)) | ~c_in_3(c_Pair_4(x0,x1,x2,x2),c_Transitive__Closure_Ortrancl_2(x3,x2),tc_prod_2(x2,x2)) | c_in_3(c_Pair_4(x4,x1,x2,x2),c_Transitive__Closure_Ortrancl_2(x3,x2),tc_prod_2(x2,x2)) ....... B5
% ~c_in_3(c_Pair_4(c_Comb_Ocomb_Oop_A_D_D_2(v_y_0(), v_z_0()), x0, tc_Comb_Ocomb_0(), tc_Comb_Ocomb_0()), c_Transitive__Closure_Ortrancl_2(c_Comb_Ocontract_0(), tc_Comb_Ocomb_0()), tc_prod_2(tc_Comb_Ocomb_0(), tc_Comb_Ocomb_0())) | c_in_3(c_Pair_4(c_Comb_Ocomb_Oop_A_D_D_2(v_x_0(), v_z_0()), x0, tc_Comb_Ocomb_0(), tc_Comb_Ocomb_0()), c_Transitive__Closure_Ortrancl_2(c_Comb_Ocontract_0(), tc_Comb_Ocomb_0()), tc_prod_2(tc_Comb_Ocomb_0(), tc_Comb_Ocomb_0())) ....... R1 [B1:L0, B5:L0]
% c_in_3(c_Pair_4(c_Comb_Ocomb_Oop_A_D_D_2(v_y_0(),x0),c_Comb_Ocomb_Oop_A_D_D_2(v_za_0(),x0),tc_Comb_Ocomb_0(),tc_Comb_Ocomb_0()),c_Transitive__Closure_Ortrancl_2(c_Comb_Ocontract_0(),tc_Comb_Ocomb_0()),tc_prod_2(tc_Comb_Ocomb_0(),tc_Comb_Ocomb_0())) ....... U8
% c_in_3(c_Pair_4(c_Comb_Ocomb_Oop_A_D_D_2(v_x_0(), v_z_0()), c_Comb_Ocomb_Oop_A_D_D_2(v_za_0(), v_z_0()), tc_Comb_Ocomb_0(), tc_Comb_Ocomb_0()), c_Transitive__Closure_Ortrancl_2(c_Comb_Ocontract_0(), tc_Comb_Ocomb_0()), tc_prod_2(tc_Comb_Ocomb_0(), tc_Comb_Ocomb_0())) ....... R2 [R1:L0, U8:L0]
% Derivation of the empty clause:
% c_in_3(c_Pair_4(c_Comb_Ocomb_Oop_A_D_D_2(v_x_0(),v_z_0()),c_Comb_Ocomb_Oop_A_D_D_2(v_za_0(),v_z_0()),tc_Comb_Ocomb_0(),tc_Comb_Ocomb_0()),c_Transitive__Closure_Ortrancl_2(c_Comb_Ocontract_0(),tc_Comb_Ocomb_0()),tc_prod_2(tc_Comb_Ocomb_0(),tc_Comb_Ocomb_0())) ....... U19
% ~c_in_3(c_Pair_4(c_Comb_Ocomb_Oop_A_D_D_2(v_x_0(),v_z_0()),c_Comb_Ocomb_Oop_A_D_D_2(v_za_0(),v_z_0()),tc_Comb_Ocomb_0(),tc_Comb_Ocomb_0()),c_Transitive__Closure_Ortrancl_2(c_Comb_Ocontract_0(),tc_Comb_Ocomb_0()),tc_prod_2(tc_Comb_Ocomb_0(),tc_Comb_Ocomb_0())) ....... U2
% [] ....... R1 [U19:L0, U2:L0]
% --------------- End of Proof ---------------
% PROOF FOUND!
% ---------------------------------------------
% | Statistics |
% ---------------------------------------------
% Profile 3: Performance Statistics:
% ==================================
% Total number of generated clauses: 37
% resolvents: 37 factors: 0
% Number of unit clauses generated: 28
% % unit clauses generated to total clauses generated: 75.68
% Number of unit clauses constructed and retained at depth [x]:
% =============================================================
% [0] = 3 [1] = 16 [2] = 1
% Total = 20
% Number of generated clauses having [x] literals:
% ------------------------------------------------
% [1] = 28 [2] = 9
% Average size of a generated clause: 2.0
% Number of unit clauses per predicate list:
% ==========================================
% [0] c_in_3 (+)17 (-)3
% ------------------
% Total: (+)17 (-)3
% Total number of unit clauses retained: 20
% Number of clauses skipped because of their length: 2
% N base clauses skippped in resolve-with-all-base-clauses
% because of the shortest resolvents table: 0
% Number of successful unifications: 41
% Number of unification failures: 6
% Number of unit to unit unification failures: 48
% N literal unification failure due to lookup root_id table: 32
% N base clause resolution failure due to lookup table: 5
% N UC-BCL resolution dropped due to lookup table: 0
% Max entries in substitution set: 4
% N unit clauses dropped because they exceeded max values: 8
% N unit clauses dropped because too much nesting: 4
% 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: 21
% Max term depth in a unit clause: 5
% Number of states in UCFA table: 173
% Total number of terms of all unit clauses in table: 312
% Max allowed number of states in UCFA: 184000
% Ratio n states used/total allowed states: 0.00
% Ratio n states used/total unit clauses terms: 0.55
% Number of symbols (columns) in UCFA: 45
% Profile 2: Number of calls to:
% ==============================
% PTUnify() = 47
% ConstructUnitClause() = 25
% Profile 1: Time spent in:
% =========================
% ConstructUnitClause() : 0.00 secs
% --------------------------------------------------------
% | |
% Inferences per sec: inf
% | |
% --------------------------------------------------------
% Elapsed time: 0 secs
% CPU time: 0.20 secs
%
%------------------------------------------------------------------------------