TSTP Solution File: SYN100-1.005 by CARINE---0.734
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%------------------------------------------------------------------------------
% File : CARINE---0.734
% Problem : SYN100-1.005 : TPTP v5.0.0. Bugfixed v1.2.1.
% Transfm : add_equality
% Format : carine
% Command : carine %s t=%d xo=off uct=32000
% Computer : art02.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 08:32:18 EST 2010
% Result : Unsatisfiable 0.23s
% Output : Refutation 0.23s
% 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/SystemOnTPTP32403/SYN/SYN100-1.005+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 = 24] [nf = 0] [nu = 0] [ut = 8]
% Looking for a proof at depth = 2 ...
% t = 0 secs [nr = 156] [nf = 0] [nu = 20] [ut = 16]
% Looking for a proof at depth = 3 ...
% t = 0 secs [nr = 420] [nf = 16] [nu = 44] [ut = 16]
% Looking for a proof at depth = 4 ...
% t = 0 secs [nr = 1494] [nf = 40] [nu = 342] [ut = 24]
% Looking for a proof at depth = 5 ...
% t = 0 secs [nr = 4930] [nf = 112] [nu = 1250] [ut = 24]
% Looking for a proof at depth = 6 ...
% t = 0 secs [nr = 18370] [nf = 440] [nu = 4554] [ut = 32]
% Looking for a proof at depth = 7 ...
% +================================================+
% | |
% | Congratulations!!! ........ A proof was found. |
% | |
% +================================================+
% Base Clauses and Unit Clauses used in proof:
% ============================================
% Base Clauses:
% -------------
% B0: ~p_0_1(x0) | ~q_0_1(x0)
% B1: p_8_1(a_0())
% B18: ~p_1_1(x0) | ~p_2_1(x0) | p_0_1(x0)
% B35: ~p_7_1(x0) | ~p_8_1(x0) | p_6_1(x0)
% B38: ~p_8_1(x0) | ~p_9_1(x0) | p_7_1(x0)
% B40: ~p_8_1(x0) | ~q_9_1(x0) | q_7_1(x0)
% Unit Clauses:
% --------------
% U1: < d0 v0 dv0 f0 c1 t1 td1 b > p_9_1(a_0())
% U3: < d0 v0 dv0 f0 c1 t1 td1 b > q_9_1(a_0())
% U8: < d2 v0 dv0 f0 c1 t1 td1 > p_7_1(a_0())
% U9: < d2 v0 dv0 f0 c1 t1 td1 > q_7_1(a_0())
% U16: < d4 v0 dv0 f0 c1 t1 td1 > p_5_1(a_0())
% U17: < d4 v0 dv0 f0 c1 t1 td1 > q_5_1(a_0())
% U24: < d6 v0 dv0 f0 c1 t1 td1 > p_3_1(a_0())
% U25: < d6 v0 dv0 f0 c1 t1 td1 > q_3_1(a_0())
% U26: < d6 v0 dv0 f0 c1 t1 td1 > p_2_1(a_0())
% U27: < d6 v0 dv0 f0 c1 t1 td1 > q_2_1(a_0())
% U32: < d7 v0 dv0 f0 c1 t1 td1 > ~p_3_1(a_0())
% --------------- Start of Proof ---------------
% Derivation of unit clause U1:
% p_9_1(a_0()) ....... U1
% Derivation of unit clause U3:
% q_9_1(a_0()) ....... U3
% Derivation of unit clause U8:
% p_8_1(a_0()) ....... B1
% ~p_8_1(x0) | ~p_9_1(x0) | p_7_1(x0) ....... B38
% ~p_9_1(a_0()) | p_7_1(a_0()) ....... R1 [B1:L0, B38:L0]
% p_9_1(a_0()) ....... U1
% p_7_1(a_0()) ....... R2 [R1:L0, U1:L0]
% Derivation of unit clause U9:
% p_8_1(a_0()) ....... B1
% ~p_8_1(x0) | ~q_9_1(x0) | q_7_1(x0) ....... B40
% ~q_9_1(a_0()) | q_7_1(a_0()) ....... R1 [B1:L0, B40:L0]
% q_9_1(a_0()) ....... U3
% q_7_1(a_0()) ....... R2 [R1:L0, U3:L0]
% Derivation of unit clause U16:
% p_8_1(a_0()) ....... B1
% ~p_7_1(x0) | ~p_8_1(x0) | p_6_1(x0) ....... B35
% ~p_7_1(a_0()) | p_6_1(a_0()) ....... R1 [B1:L0, B35:L1]
% ~p_6_1(x0) | ~p_7_1(x0) | p_5_1(x0) ....... B32
% ~p_7_1(a_0()) | ~p_7_1(a_0()) | p_5_1(a_0()) ....... R2 [R1:L1, B32:L0]
% ~p_7_1(a_0()) | p_5_1(a_0()) ....... R3 [R2:L0, R2:L1]
% p_7_1(a_0()) ....... U8
% p_5_1(a_0()) ....... R4 [R3:L0, U8:L0]
% Derivation of unit clause U17:
% p_8_1(a_0()) ....... B1
% ~p_7_1(x0) | ~p_8_1(x0) | p_6_1(x0) ....... B35
% ~p_7_1(a_0()) | p_6_1(a_0()) ....... R1 [B1:L0, B35:L1]
% ~p_6_1(x0) | ~q_7_1(x0) | q_5_1(x0) ....... B34
% ~p_7_1(a_0()) | ~q_7_1(a_0()) | q_5_1(a_0()) ....... R2 [R1:L1, B34:L0]
% p_7_1(a_0()) ....... U8
% ~q_7_1(a_0()) | q_5_1(a_0()) ....... R3 [R2:L0, U8:L0]
% q_7_1(a_0()) ....... U9
% q_5_1(a_0()) ....... R4 [R3:L0, U9:L0]
% Derivation of unit clause U24:
% p_8_1(a_0()) ....... B1
% ~p_7_1(x0) | ~p_8_1(x0) | p_6_1(x0) ....... B35
% ~p_7_1(a_0()) | p_6_1(a_0()) ....... R1 [B1:L0, B35:L1]
% ~p_5_1(x0) | ~p_6_1(x0) | p_4_1(x0) ....... B29
% ~p_7_1(a_0()) | ~p_5_1(a_0()) | p_4_1(a_0()) ....... R2 [R1:L1, B29:L1]
% p_7_1(a_0()) ....... U8
% ~p_5_1(a_0()) | p_4_1(a_0()) ....... R3 [R2:L0, U8:L0]
% ~p_4_1(x0) | ~p_5_1(x0) | p_3_1(x0) ....... B26
% ~p_5_1(a_0()) | ~p_5_1(a_0()) | p_3_1(a_0()) ....... R4 [R3:L1, B26:L0]
% ~p_5_1(a_0()) | p_3_1(a_0()) ....... R5 [R4:L0, R4:L1]
% p_5_1(a_0()) ....... U16
% p_3_1(a_0()) ....... R6 [R5:L0, U16:L0]
% Derivation of unit clause U25:
% p_8_1(a_0()) ....... B1
% ~p_7_1(x0) | ~p_8_1(x0) | p_6_1(x0) ....... B35
% ~p_7_1(a_0()) | p_6_1(a_0()) ....... R1 [B1:L0, B35:L1]
% ~p_5_1(x0) | ~p_6_1(x0) | p_4_1(x0) ....... B29
% ~p_7_1(a_0()) | ~p_5_1(a_0()) | p_4_1(a_0()) ....... R2 [R1:L1, B29:L1]
% p_7_1(a_0()) ....... U8
% ~p_5_1(a_0()) | p_4_1(a_0()) ....... R3 [R2:L0, U8:L0]
% ~p_4_1(x0) | ~q_5_1(x0) | q_3_1(x0) ....... B28
% ~p_5_1(a_0()) | ~q_5_1(a_0()) | q_3_1(a_0()) ....... R4 [R3:L1, B28:L0]
% p_5_1(a_0()) ....... U16
% ~q_5_1(a_0()) | q_3_1(a_0()) ....... R5 [R4:L0, U16:L0]
% q_5_1(a_0()) ....... U17
% q_3_1(a_0()) ....... R6 [R5:L0, U17:L0]
% Derivation of unit clause U26:
% p_8_1(a_0()) ....... B1
% ~p_7_1(x0) | ~p_8_1(x0) | p_6_1(x0) ....... B35
% ~p_7_1(a_0()) | p_6_1(a_0()) ....... R1 [B1:L0, B35:L1]
% ~p_5_1(x0) | ~p_6_1(x0) | p_4_1(x0) ....... B29
% ~p_7_1(a_0()) | ~p_5_1(a_0()) | p_4_1(a_0()) ....... R2 [R1:L1, B29:L1]
% p_5_1(a_0()) ....... U16
% ~p_7_1(a_0()) | p_4_1(a_0()) ....... R3 [R2:L1, U16:L0]
% ~p_3_1(x0) | ~p_4_1(x0) | p_2_1(x0) ....... B23
% ~p_7_1(a_0()) | ~p_3_1(a_0()) | p_2_1(a_0()) ....... R4 [R3:L1, B23:L1]
% p_7_1(a_0()) ....... U8
% ~p_3_1(a_0()) | p_2_1(a_0()) ....... R5 [R4:L0, U8:L0]
% p_3_1(a_0()) ....... U24
% p_2_1(a_0()) ....... R6 [R5:L0, U24:L0]
% Derivation of unit clause U27:
% p_8_1(a_0()) ....... B1
% ~p_7_1(x0) | ~p_8_1(x0) | p_6_1(x0) ....... B35
% ~p_7_1(a_0()) | p_6_1(a_0()) ....... R1 [B1:L0, B35:L1]
% ~p_5_1(x0) | ~p_6_1(x0) | p_4_1(x0) ....... B29
% ~p_7_1(a_0()) | ~p_5_1(a_0()) | p_4_1(a_0()) ....... R2 [R1:L1, B29:L1]
% p_5_1(a_0()) ....... U16
% ~p_7_1(a_0()) | p_4_1(a_0()) ....... R3 [R2:L1, U16:L0]
% ~p_4_1(x0) | ~q_3_1(x0) | q_2_1(x0) ....... B27
% ~p_7_1(a_0()) | ~q_3_1(a_0()) | q_2_1(a_0()) ....... R4 [R3:L1, B27:L0]
% p_7_1(a_0()) ....... U8
% ~q_3_1(a_0()) | q_2_1(a_0()) ....... R5 [R4:L0, U8:L0]
% q_3_1(a_0()) ....... U25
% q_2_1(a_0()) ....... R6 [R5:L0, U25:L0]
% Derivation of unit clause U32:
% ~p_0_1(x0) | ~q_0_1(x0) ....... B0
% ~p_1_1(x0) | ~p_2_1(x0) | p_0_1(x0) ....... B18
% ~q_0_1(x0) | ~p_1_1(x0) | ~p_2_1(x0) ....... R1 [B0:L0, B18:L2]
% p_2_1(a_0()) ....... U26
% ~q_0_1(a_0()) | ~p_1_1(a_0()) ....... R2 [R1:L2, U26:L0]
% ~p_1_1(x0) | ~q_2_1(x0) | q_0_1(x0) ....... B19
% ~p_1_1(a_0()) | ~p_1_1(a_0()) | ~q_2_1(a_0()) ....... R3 [R2:L0, B19:L2]
% ~p_1_1(a_0()) | ~q_2_1(a_0()) ....... R4 [R3:L0, R3:L1]
% ~p_2_1(x0) | ~p_3_1(x0) | p_1_1(x0) ....... B20
% ~q_2_1(a_0()) | ~p_2_1(a_0()) | ~p_3_1(a_0()) ....... R5 [R4:L0, B20:L2]
% q_2_1(a_0()) ....... U27
% ~p_2_1(a_0()) | ~p_3_1(a_0()) ....... R6 [R5:L0, U27:L0]
% p_2_1(a_0()) ....... U26
% ~p_3_1(a_0()) ....... R7 [R6:L0, U26:L0]
% Derivation of the empty clause:
% ~p_3_1(a_0()) ....... U32
% p_3_1(a_0()) ....... U24
% [] ....... R1 [U32:L0, U24:L0]
% --------------- End of Proof ---------------
% PROOF FOUND!
% ---------------------------------------------
% | Statistics |
% ---------------------------------------------
% Profile 3: Performance Statistics:
% ==================================
% Total number of generated clauses: 18818
% resolvents: 18377 factors: 441
% Number of unit clauses generated: 4556
% % unit clauses generated to total clauses generated: 24.21
% Number of unit clauses constructed and retained at depth [x]:
% =============================================================
% [0] = 8 [2] = 8 [4] = 8 [6] = 8 [7] = 1
% Total = 33
% Number of generated clauses having [x] literals:
% ------------------------------------------------
% [1] = 4556 [2] = 6731 [3] = 7531
% Average size of a generated clause: 3.0
% Number of unit clauses per predicate list:
% ==========================================
% [0] p_0_1 (+)0 (-)0
% [1] p_10_1 (+)0 (-)0
% [2] p_1_1 (+)0 (-)0
% [3] p_2_1 (+)1 (-)0
% [4] p_3_1 (+)1 (-)1
% [5] p_4_1 (+)1 (-)0
% [6] p_5_1 (+)1 (-)0
% [7] p_6_1 (+)1 (-)0
% [8] p_7_1 (+)1 (-)0
% [9] p_8_1 (+)1 (-)0
% [10] p_9_1 (+)1 (-)0
% [11] q_0_1 (+)0 (-)0
% [12] q_10_1 (+)0 (-)0
% [13] q_1_1 (+)0 (-)0
% [14] q_2_1 (+)1 (-)0
% [15] q_3_1 (+)1 (-)0
% [16] q_4_1 (+)1 (-)0
% [17] q_5_1 (+)1 (-)0
% [18] q_6_1 (+)1 (-)0
% [19] q_7_1 (+)1 (-)0
% [20] q_8_1 (+)1 (-)0
% [21] q_9_1 (+)1 (-)0
% [22] sym_p_0_1 (+)0 (-)0
% [23] sym_p_10_1 (+)0 (-)0
% [24] sym_p_1_1 (+)0 (-)0
% [25] sym_p_2_1 (+)0 (-)1
% [26] sym_p_3_1 (+)0 (-)1
% [27] sym_p_4_1 (+)0 (-)1
% [28] sym_p_5_1 (+)0 (-)1
% [29] sym_p_6_1 (+)0 (-)1
% [30] sym_p_7_1 (+)0 (-)1
% [31] sym_p_8_1 (+)0 (-)1
% [32] sym_p_9_1 (+)0 (-)1
% [33] sym_q_0_1 (+)0 (-)0
% [34] sym_q_10_1 (+)0 (-)0
% [35] sym_q_1_1 (+)0 (-)0
% [36] sym_q_2_1 (+)0 (-)1
% [37] sym_q_3_1 (+)0 (-)1
% [38] sym_q_4_1 (+)0 (-)1
% [39] sym_q_5_1 (+)0 (-)1
% [40] sym_q_6_1 (+)0 (-)1
% [41] sym_q_7_1 (+)0 (-)1
% [42] sym_q_8_1 (+)0 (-)1
% [43] sym_q_9_1 (+)0 (-)1
% ------------------
% Total: (+)16 (-)17
% Total number of unit clauses retained: 33
% Number of clauses skipped because of their length: 214680
% N base clauses skippped in resolve-with-all-base-clauses
% because of the shortest resolvents table: 3664
% Number of successful unifications: 18861
% Number of unification failures: 0
% Number of unit to unit unification failures: 0
% N literal unification failure due to lookup root_id table: 50527
% N base clause resolution failure due to lookup table: 187919
% 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: 3204
% 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: 1
% Max term depth in a unit clause: 1
% Number of states in UCFA table: 36
% Total number of terms of all unit clauses in table: 33
% 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: 1.09
% Number of symbols (columns) in UCFA: 79
% Profile 2: Number of calls to:
% ==============================
% PTUnify() = 18861
% ConstructUnitClause() = 3229
% Profile 1: Time spent in:
% =========================
% ConstructUnitClause() : 0.01 secs
% --------------------------------------------------------
% | |
% Inferences per sec: inf
% | |
% --------------------------------------------------------
% Elapsed time: 0 secs
% CPU time: 0.23 secs
%
%------------------------------------------------------------------------------